GCD of 972, 778, 294, 636 Calculator

Given Input numbers are 972, 778, 294, 636

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

GCD of numbers is the greatest common divisor

So, the GCD (972, 778, 294, 636) = 2.

Given numbers are 972, 778, 294, 636

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 778 are 2 x 389

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 972, 778, 294, 636 is 2.

Given numbers are 972, 778, 294, 636

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

Apply this formula for all numbers.

Step1:

LCM(972, 778) = 378108

GCD(972, 778) = ( 972 x 778 ) / 378108

= 972 / 778

= 972

Step2:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2

So, Greatest Common Divisor of 972, 778, 294, 636 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 665, 122, 696
• GCD of 942, 467, 465, 237
• GCD of 795, 860, 811, 488
• GCD of 917, 519, 351, 376
• GCD of 320, 708, 674, 168

Given numbers are 972, 778, 294, 636
The greatest common divisor of numbers 972, 778, 294, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 778, 294, 636 is 2.

1. What is the GCD of 972, 778, 294, 636?

GCD of given numbers 972, 778, 294, 636 is 2

2. How to calculate the greatest common divisor of 972, 778, 294, 636?

We can find the highest common divisor of 972, 778, 294, 636 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 972, 778, 294, 636 i.e 2.

3. How can I use the GCD of 972, 778, 294, 636Calculator?

Out the numbers 972, 778, 294, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.