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GCD of 972, 256, 917, 236 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, 256, 917, 236 quickly. Get the easiest ways to solve the greatest common divisor of 972, 256, 917, 236 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 256, 917, 236 with Factoring?

Given Input numbers are 972, 256, 917, 236

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 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (972, 256, 917, 236) = 1.

Find GCD of 972, 256, 917, 236 using Prime Factorization

Given numbers are 972, 256, 917, 236

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 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 917 are 7 x 131

Prime factors of 236 are 2 x 2 x 59

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

Steps to Calculate GCD of 972, 256, 917, 236 using LCM Formula

Given numbers are 972, 256, 917, 236

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

Apply this formula for all numbers.

Step1:

LCM(972, 256) = 62208

GCD(972, 256) = ( 972 x 256 ) / 62208

= 972 / 256

= 972


Step2:

LCM(4, 917) = 3668

GCD(4, 917) = ( 4 x 917 ) / 3668

= 4 / 917

= 4


Step3:

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

= 1 / 236

= 1


So, Greatest Common Divisor of 972, 256, 917, 236 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 256, 917, 236

Given numbers are 972, 256, 917, 236
The greatest common divisor of numbers 972, 256, 917, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 256, 917, 236 is 1.

FAQs on GCD of 972, 256, 917, 236 Calculator

1. What is the GCD of 972, 256, 917, 236?

GCD of given numbers 972, 256, 917, 236 is 1


2. How to calculate the greatest common divisor of 972, 256, 917, 236?

We can find the highest common divisor of 972, 256, 917, 236 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, 256, 917, 236 i.e 1.


3. How can I use the GCD of 972, 256, 917, 236Calculator?

Out the numbers 972, 256, 917, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.