greatest common factor | MathCelebrity Forum

# greatest common factor

1. ### 2/3 x 3/4 x 4/5 x 5/6 x 6/7 x 7/8 x 8/9 x 9/10 x 10/11 x 11/12 x 12/13 x 13/14

Do this without a calculator. Notice, all numerators have a matching denominator except 2 in the first term and 14 in the last term. So we have 2/14 Using 2 as a common factor, we have: 2/2 / 14/2 1/7
2. ### Find the greatest common factor without a calculator

Find the greatest common factor without a calculator Check out this table stacking method and the product of factors.
3. ### When five people are playing a game called hearts, each person is dealt ten cards and the two remain

When five people are playing a game called hearts, each person is dealt ten cards and the two remaining cards are put face down on a table. Because of the rules of the game, it is very important to know the probability of either of the two cards being a heart. What is the probability that at...
4. ### Kartek bought 86 pizzas for a school party. If there are 516 people at his school, how much pizza sh

Kartek bought 86 pizzas for a school party. If there are 516 people at his school, how much pizza should each person get? Setup unit slices: 86 pizzas / 516 people = 1/6 pizza per person
5. ### mark has a drawer full of 12 yellow baseball caps and 18 white baseball caps. What is the probabilit

mark has a drawer full of 12 yellow baseball caps and 18 white baseball caps. What is the probability of the next cap he chooses at random will be yellow? P(yellow) = yellow caps / Total caps P(yellow) = 12/(12 + 18) P(yellow) = 12/30 Simplifying this fraction, we get: P(yellow) = 2/5
6. ### Bob has 4/5 of a pound of fudge. He wants to share it with Sue. How much of a pound of fudge will bo

Bob has 4/5 of a pound of fudge. He wants to share it with Sue. How much of a pound of fudge will both of them get? If Bob shares the fudge with Sue, we assume they split equal parts. This means: We take 4/5 total and divide into 2 for 2 people: 4/5/2 This is the same as 4/5 * 1/2 4/10 This...
7. ### Ana has 24 carrots, 12 cucumbers, and 36 radishes. She wants to make identical vegetable baskets usi

Ana has 24 carrots, 12 cucumbers, and 36 radishes. She wants to make identical vegetable baskets using all of the vegetables. What is the greatest number of baskets she can make The key to solving this problem is asking what is the common factor between the 3 numbers. We want the greatest...
8. ### What is the ratio 18b^2 to 45b written in simplest for

What is the ratio 18b^2 to 45b written in simplest for Using our monomial calculator, we see that 18b^2/45b is 2b/5
9. ### A loaf of bread has 35 slices. Ann eats 8 slices, Betty eats 6 slices, Carl eats 5, and Derrick eats

A loaf of bread has 35 slices. Ann eats 8 slices, Betty eats 6 slices, Carl eats 5, and Derrick eats 9 slices. What fraction of the loaf is left? Calculate total slices eaten: Slices eaten = Ann + Betty + Carl + Derrick Slices eaten = 8 + 6 + 5 + 9 Slices eaten = 28 Calculate remaining slices...
10. ### In a certain lot, there are 16 white, 7 red, 8 blue, and 9 black cars. You randomly pick a set of ke

In a certain lot, there are 16 white, 7 red, 8 blue, and 9 black cars. You randomly pick a set of keys to one of the cars. What is the probability of choosing a set of keys to a blue car? Our total cars are: Total Cars = White Cars + Red Cars + Blue Cars = Black Cars Total Cars = 16 + 7 + 8 + 9...
11. ### Mrs. Taylor is making identical costumes for the dancers in the dance club. She uses 126 pink ribbon

Mrs. Taylor is making identical costumes for the dancers in the dance club. She uses 126 pink ribbons and 108 yellow ribbons. a) What is the maximum possible number of costumes she can make? b) How many pink and how many yellow ribbons are on each costume? a), we want the greatest common...
12. ### 32 girls and 52 boys were on an overseas learning trip . They were divided into as many groups as po

32 girls and 52 boys were on an overseas learning trip . They were divided into as many groups as possible where the number of groups of girls and the number of groups of boys is the same .how many boys and how many girls were in each group We want a number such that our total members divided...
13. ### Find the greatest number which divides 845 and 1250

Find the greatest number which divides 845 and 1250 This is the greatest common factor. We type GCF(845,1250) into our search engine and we get: 5
14. ### There are 72 boys and 90 girls on the Math team For the next math competition Mr Johnson would like

There are 72 boys and 90 girls on the Math team For the next math competition Mr Johnson would like to arrange all of the students in equal rows with only girls or boys in each row with only girls or boys in each row. What is the greatest number of students that can be put in each row? To find...
15. ### 5/12 of a circle what measure in degrees

5/12 of a circle what measure in degrees A circle measures 360 degrees. We multiply as follows: 5/12 * 360 = 150 degrees
16. ### A pair of numbers has an HCF (Highest Common Factor) of 3, and an LCM (Lowest Common Multiple) of

A pair of numbers has an HCF (Highest Common Factor) of 3, and an LCM (Lowest Common Multiple) of 45 . If one of the numbers in the pair is 15 , what is the other number? Prime Factorization for 15 is 3 * 5 Prime Factorization for 9 is 3 * 3 LCM of (9, 15) = 35 Check out this link here to...
17. ### Four fifths of 300

Four fifths of 300. Multiply 4/5 by 300: 4(300)/5 1200/5 Simplifying this fraction, we get: 240
18. ### What is the slope of the line through (1,9) and (5,3)

What is the slope of the line through (1,9) and (5,3) We run this through our slope calculator, and get an initial slope of 6/4. But this is not in simplest form. So we type 6/4 into our calculator, and select the simplify option. We get 3/2
19. ### Claire bought 180 candies and 140 pens for goody bags for her birthday. What is the largest number o

Claire bought 180 candies and 140 pens for goody bags for her birthday. What is the largest number of goody bags that Claire can make so that each goody bag has the same number of candies and the same number of pens? (All candies and pens should be used.) We want the greatest common factor of...
20. ### John mows 3 lawns in 4 hours, Paul mows 5 lawns in 6 hours. Who mows faster?

John mows 3 lawns in 4 hours, Paul mows 5 lawns in 6 hours. Who mows faster? To see who mows faster, we set up fractions with a common denominator. You can see this by running this statement in the calculator: 3/4 or 5/6 You'll see that 5/6 is larger, so Paul mores more lawns per hour.