GCD of 979, 171, 756, 918 Calculator

Given Input numbers are 979, 171, 756, 918

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

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (979, 171, 756, 918) = 1.

Given numbers are 979, 171, 756, 918

The list of prime factors of all numbers are

Prime factors of 979 are 11 x 89

Prime factors of 171 are 3 x 3 x 19

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Given numbers are 979, 171, 756, 918

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

Apply this formula for all numbers.

Step1:

LCM(979, 171) = 167409

GCD(979, 171) = ( 979 x 171 ) / 167409

= 979 / 171

= 979

Step2:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

So, Greatest Common Divisor of 979, 171, 756, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 115, 575, 416
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• GCD of 527, 554, 352, 959
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• GCD of 869, 320, 198, 662

Given numbers are 979, 171, 756, 918
The greatest common divisor of numbers 979, 171, 756, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 979, 171, 756, 918 is 1.

1. What is the GCD of 979, 171, 756, 918?

GCD of given numbers 979, 171, 756, 918 is 1

2. How to calculate the greatest common divisor of 979, 171, 756, 918?

We can find the highest common divisor of 979, 171, 756, 918 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 979, 171, 756, 918 i.e 1.

3. How can I use the GCD of 979, 171, 756, 918Calculator?

Out the numbers 979, 171, 756, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.