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GCD of 316, 424, 972 Calculator

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


Online GCD Calculator is useful to find the GCD of 316, 424, 972 quickly. Get the easiest ways to solve the greatest common divisor of 316, 424, 972 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 316, 424, 972 with Factoring?

Given Input numbers are 316, 424, 972

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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


GCD of numbers is the greatest common divisor

So, the GCD (316, 424, 972) = 4.

Find GCD of 316, 424, 972 using Prime Factorization

Given numbers are 316, 424, 972

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 22

Therefore, GCD of 316, 424, 972 is 4.

Steps to Calculate GCD of 316, 424, 972 using LCM Formula

Given numbers are 316, 424, 972

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

Apply this formula for all numbers.

Step1:

LCM(316, 424) = 33496

GCD(316, 424) = ( 316 x 424 ) / 33496

= 316 / 424

= 316


Step2:

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

= 4 / 972

= 4


So, Greatest Common Divisor of 316, 424, 972 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 316, 424, 972

Given numbers are 316, 424, 972
The greatest common divisor of numbers 316, 424, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 424, 972 is 4.

FAQs on GCD of 316, 424, 972 Calculator

1. What is the GCD of 316, 424, 972?

GCD of given numbers 316, 424, 972 is 4


2. How to calculate the greatest common divisor of 316, 424, 972?

We can find the highest common divisor of 316, 424, 972 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 316, 424, 972 i.e 4.


3. How can I use the GCD of 316, 424, 972Calculator?

Out the numbers 316, 424, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.