GCD of 996, 684, 957, 678 Calculator

Given Input numbers are 996, 684, 957, 678

In the factoring method, we have to find the divisors of all numbers

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (996, 684, 957, 678) = 3.

Given numbers are 996, 684, 957, 678

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 957 are 3 x 11 x 29

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 996, 684, 957, 678 is 3.

Given numbers are 996, 684, 957, 678

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(996, 684) = 56772

GCD(996, 684) = ( 996 x 684 ) / 56772

= 996 / 684

= 996

Step2:

LCM(12, 957) = 3828

GCD(12, 957) = ( 12 x 957 ) / 3828

= 12 / 957

= 12

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 996, 684, 957, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 949, 586, 606
• GCD of 136, 154, 696, 527
• GCD of 282, 247, 911, 800
• GCD of 830, 387, 302, 387
• GCD of 405, 772, 338, 304

Given numbers are 996, 684, 957, 678
The greatest common divisor of numbers 996, 684, 957, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 684, 957, 678 is 3.

1. What is the GCD of 996, 684, 957, 678?

GCD of given numbers 996, 684, 957, 678 is 3

2. How to calculate the greatest common divisor of 996, 684, 957, 678?

We can find the highest common divisor of 996, 684, 957, 678 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 996, 684, 957, 678 i.e 3.

3. How can I use the GCD of 996, 684, 957, 678Calculator?

Out the numbers 996, 684, 957, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.