GCD of 972, 766, 120, 836 Calculator

Given Input numbers are 972, 766, 120, 836

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

GCD of numbers is the greatest common divisor

So, the GCD (972, 766, 120, 836) = 2.

Given numbers are 972, 766, 120, 836

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 766 are 2 x 383

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 836 are 2 x 2 x 11 x 19

The highest common occurrence is 2¹

Therefore, GCD of 972, 766, 120, 836 is 2.

Given numbers are 972, 766, 120, 836

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

Apply this formula for all numbers.

Step1:

LCM(972, 766) = 372276

GCD(972, 766) = ( 972 x 766 ) / 372276

= 972 / 766

= 972

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

= 2 / 836

= 2

So, Greatest Common Divisor of 972, 766, 120, 836 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 186, 245, 197
• GCD of 252, 645, 952, 623
• GCD of 693, 908, 919, 449
• GCD of 514, 957, 427, 591
• GCD of 813, 573, 562, 205

Given numbers are 972, 766, 120, 836
The greatest common divisor of numbers 972, 766, 120, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 766, 120, 836 is 2.

1. What is the GCD of 972, 766, 120, 836?

GCD of given numbers 972, 766, 120, 836 is 2

2. How to calculate the greatest common divisor of 972, 766, 120, 836?

We can find the highest common divisor of 972, 766, 120, 836 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, 766, 120, 836 i.e 2.

3. How can I use the GCD of 972, 766, 120, 836Calculator?

Out the numbers 972, 766, 120, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.