## Enter a mod b statement

(mod )

3 ≡ 4(mod 7)

For a ≡ b (mod n) to hold, n must divide a - b

 a - b n
 ≡
 3 - 4 7

##### Plug in a = 3, b = 4, and n = 7

 a - b n
 ≡
 3 - 4 7

 a - b n
 ≡
 -1 7

Since -1/7 ≠ -1 with no remainder, this congruence relation holds

Since -1/7 ≠ -1 with no remainder, this congruence relation holds
##### How does the Congruence Modulo n Calculator work?
Free Congruence Modulo n Calculator - Given a possible congruence relation a ≡ b (mod n), this determines if the relation holds true (b is congruent to c modulo n).
This calculator has 3 inputs.

### What 1 formula is used for the Congruence Modulo n Calculator?

if a ≡ b (mod n) then (a - b)/n is an integer

For more math formulas, check out our Formula Dossier

### What 4 concepts are covered in the Congruence Modulo n Calculator?

congruence modulo n
Occurs when two numbers have a difference that is a multiple of n.
congruent
identical in form
modulus
the remainder of a division, after one number is divided by another.
a mod b
remainder
The portion of a division operation leftover after dividing two integers