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GCD of 972, 760, 329, 320 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, 760, 329, 320 quickly. Get the easiest ways to solve the greatest common divisor of 972, 760, 329, 320 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 760, 329, 320 with Factoring?

Given Input numbers are 972, 760, 329, 320

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320


GCD of numbers is the greatest common divisor

So, the GCD (972, 760, 329, 320) = 1.

Find GCD of 972, 760, 329, 320 using Prime Factorization

Given numbers are 972, 760, 329, 320

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 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 329 are 7 x 47

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Steps to Calculate GCD of 972, 760, 329, 320 using LCM Formula

Given numbers are 972, 760, 329, 320

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

Apply this formula for all numbers.

Step1:

LCM(972, 760) = 184680

GCD(972, 760) = ( 972 x 760 ) / 184680

= 972 / 760

= 972


Step2:

LCM(4, 329) = 1316

GCD(4, 329) = ( 4 x 329 ) / 1316

= 4 / 329

= 4


Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1


So, Greatest Common Divisor of 972, 760, 329, 320 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 760, 329, 320

Given numbers are 972, 760, 329, 320
The greatest common divisor of numbers 972, 760, 329, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 760, 329, 320 is 1.

FAQs on GCD of 972, 760, 329, 320 Calculator

1. What is the GCD of 972, 760, 329, 320?

GCD of given numbers 972, 760, 329, 320 is 1


2. How to calculate the greatest common divisor of 972, 760, 329, 320?

We can find the highest common divisor of 972, 760, 329, 320 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, 760, 329, 320 i.e 1.


3. How can I use the GCD of 972, 760, 329, 320Calculator?

Out the numbers 972, 760, 329, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.