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GCD of 972, 491, 365, 353 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, 491, 365, 353 quickly. Get the easiest ways to solve the greatest common divisor of 972, 491, 365, 353 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 491, 365, 353 with Factoring?

Given Input numbers are 972, 491, 365, 353

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 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353


GCD of numbers is the greatest common divisor

So, the GCD (972, 491, 365, 353) = 1.

Find GCD of 972, 491, 365, 353 using Prime Factorization

Given numbers are 972, 491, 365, 353

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 491 are 491

Prime factors of 365 are 5 x 73

Prime factors of 353 are 353

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

Steps to Calculate GCD of 972, 491, 365, 353 using LCM Formula

Given numbers are 972, 491, 365, 353

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

Apply this formula for all numbers.

Step1:

LCM(972, 491) = 477252

GCD(972, 491) = ( 972 x 491 ) / 477252

= 972 / 491

= 972


Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1


Step3:

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

= 1 / 353

= 1


So, Greatest Common Divisor of 972, 491, 365, 353 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 491, 365, 353

Given numbers are 972, 491, 365, 353
The greatest common divisor of numbers 972, 491, 365, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 491, 365, 353 is 1.

FAQs on GCD of 972, 491, 365, 353 Calculator

1. What is the GCD of 972, 491, 365, 353?

GCD of given numbers 972, 491, 365, 353 is 1


2. How to calculate the greatest common divisor of 972, 491, 365, 353?

We can find the highest common divisor of 972, 491, 365, 353 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, 491, 365, 353 i.e 1.


3. How can I use the GCD of 972, 491, 365, 353Calculator?

Out the numbers 972, 491, 365, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.