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GCD of 972, 108, 370, 739 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, 108, 370, 739 quickly. Get the easiest ways to solve the greatest common divisor of 972, 108, 370, 739 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 108, 370, 739 with Factoring?

Given Input numbers are 972, 108, 370, 739

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739


GCD of numbers is the greatest common divisor

So, the GCD (972, 108, 370, 739) = 1.

Find GCD of 972, 108, 370, 739 using Prime Factorization

Given numbers are 972, 108, 370, 739

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 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 370 are 2 x 5 x 37

Prime factors of 739 are 739

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

Steps to Calculate GCD of 972, 108, 370, 739 using LCM Formula

Given numbers are 972, 108, 370, 739

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

Apply this formula for all numbers.

Step1:

LCM(972, 108) = 972

GCD(972, 108) = ( 972 x 108 ) / 972

= 972 / 108

= 972


Step2:

LCM(108, 370) = 19980

GCD(108, 370) = ( 108 x 370 ) / 19980

= 108 / 370

= 108


Step3:

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

= 2 / 739

= 2


So, Greatest Common Divisor of 972, 108, 370, 739 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 108, 370, 739

Given numbers are 972, 108, 370, 739
The greatest common divisor of numbers 972, 108, 370, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 108, 370, 739 is 1.

FAQs on GCD of 972, 108, 370, 739 Calculator

1. What is the GCD of 972, 108, 370, 739?

GCD of given numbers 972, 108, 370, 739 is 1


2. How to calculate the greatest common divisor of 972, 108, 370, 739?

We can find the highest common divisor of 972, 108, 370, 739 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, 108, 370, 739 i.e 1.


3. How can I use the GCD of 972, 108, 370, 739Calculator?

Out the numbers 972, 108, 370, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.