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GCD of 972, 930, 779, 617 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 972, 930, 779, 617 quickly. Get the easiest ways to solve the greatest common divisor of 972, 930, 779, 617 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 930, 779, 617 with Factoring?

Given Input numbers are 972, 930, 779, 617

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 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 779 :

The positive integer divisors of 779 that completely divides 779 are.

1, 19, 41, 779

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617


GCD of numbers is the greatest common divisor

So, the GCD (972, 930, 779, 617) = 1.

Find GCD of 972, 930, 779, 617 using Prime Factorization

Given numbers are 972, 930, 779, 617

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 930 are 2 x 3 x 5 x 31

Prime factors of 779 are 19 x 41

Prime factors of 617 are 617

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

Steps to Calculate GCD of 972, 930, 779, 617 using LCM Formula

Given numbers are 972, 930, 779, 617

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

Apply this formula for all numbers.

Step1:

LCM(972, 930) = 150660

GCD(972, 930) = ( 972 x 930 ) / 150660

= 972 / 930

= 972


Step2:

LCM(6, 779) = 4674

GCD(6, 779) = ( 6 x 779 ) / 4674

= 6 / 779

= 6


Step3:

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

= 1 / 617

= 1


So, Greatest Common Divisor of 972, 930, 779, 617 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 930, 779, 617

Given numbers are 972, 930, 779, 617
The greatest common divisor of numbers 972, 930, 779, 617 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 930, 779, 617 is 1.

FAQs on GCD of 972, 930, 779, 617 Calculator

1. What is the GCD of 972, 930, 779, 617?

GCD of given numbers 972, 930, 779, 617 is 1


2. How to calculate the greatest common divisor of 972, 930, 779, 617?

We can find the highest common divisor of 972, 930, 779, 617 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, 930, 779, 617 i.e 1.


3. How can I use the GCD of 972, 930, 779, 617Calculator?

Out the numbers 972, 930, 779, 617 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.