GCD of 972, 920, 419, 956 Calculator

Given Input numbers are 972, 920, 419, 956

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 419 :

The positive integer divisors of 419 that completely divides 419 are.

1, 419

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

GCD of numbers is the greatest common divisor

So, the GCD (972, 920, 419, 956) = 1.

Given numbers are 972, 920, 419, 956

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 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 419 are 419

Prime factors of 956 are 2 x 2 x 239

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 972, 920, 419, 956

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

Apply this formula for all numbers.

Step1:

LCM(972, 920) = 223560

GCD(972, 920) = ( 972 x 920 ) / 223560

= 972 / 920

= 972

Step2:

LCM(4, 419) = 1676

GCD(4, 419) = ( 4 x 419 ) / 1676

= 4 / 419

= 4

Step3:

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

= 1 / 956

= 1

So, Greatest Common Divisor of 972, 920, 419, 956 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 812, 633, 463, 459
• GCD of 844, 469, 838, 429
• GCD of 458, 829, 786, 778
• GCD of 106, 770, 215, 575
• GCD of 887, 806, 375, 347

Given numbers are 972, 920, 419, 956
The greatest common divisor of numbers 972, 920, 419, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 920, 419, 956 is 1.

1. What is the GCD of 972, 920, 419, 956?

GCD of given numbers 972, 920, 419, 956 is 1

2. How to calculate the greatest common divisor of 972, 920, 419, 956?

We can find the highest common divisor of 972, 920, 419, 956 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, 920, 419, 956 i.e 1.

3. How can I use the GCD of 972, 920, 419, 956Calculator?

Out the numbers 972, 920, 419, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.