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GCF and LCM of 15 and 20

Enter GCF or LCM numbers:

Number 1Number 2(Optional) Enter Number 3
            
Determine GCF(15,20,30)
GCF = Largest factor that divides numbers

Determine the factors for 15

1,3,5,15

Determine the factors for 20

1,2,4,5,10

Determine the factors for 30

1,2,3,5,6,10,15

List the common factors

1,5



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GCF(15,20,30) = 5

Evaluate GCF

Calculate LCM for the following
(15,20,30)

List the first few multiples for 15

15,30,45,60,75,90,105

List the first few multiples for 20

20,40,60,80,100,120

List the first few multiples for 30

30,60,90,120,150

LCM is the smallest common number:




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LCM(15,20,30) is 60


What is the Answer?

LCM(15,20,30) is 60

How does the Greatest Common Factor and Least Common Multiple Calculator work?

Free Greatest Common Factor and Least Common Multiple Calculator - Given 2 or 3 numbers, the calculator determines the following:
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime
This calculator has 3 inputs.

What 11 concepts are covered in the Greatest Common Factor and Least Common Multiple Calculator?

division
separate a number into parts
division
separate a number into parts
factor
a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
greatest common factor
largest positive integer dividing a set of integers
greatest common factor and least common multiple
least common multiple
Given 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)
minimum
the least or lowest amount possible or attained
multiple
the product of any quantity and an integer
number
an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
prime factorization
the prime numbers that divide that integer exactly
remainder
The portion of a division operation leftover after dividing two integers

Example calculations for the Greatest Common Factor and Least Common Multiple Calculator

  1. GCF of 25 and 30
  2. GREATEST COMMON FACTOR 60,75
  3. least common multiple of 50 AND 80
  4. lcm 50,70
  5. l.c.m. 80 and 95
  6. gcf 50 + 75
  7. g.c.f 50,100
  8. GCF of 15 and 20 and 30
  9. are 3 and 5 twin prime
  10. are 20 and 29 coprime
  11. lcd of 20 and 25

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