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GCD of 917, 925, 382, 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 917, 925, 382, 972 quickly. Get the easiest ways to solve the greatest common divisor of 917, 925, 382, 972 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 917, 925, 382, 972 with Factoring?

Given Input numbers are 917, 925, 382, 972

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

Divisors of 917 :

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

1, 7, 131, 917

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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 (917, 925, 382, 972) = 1.

Find GCD of 917, 925, 382, 972 using Prime Factorization

Given numbers are 917, 925, 382, 972

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 925 are 5 x 5 x 37

Prime factors of 382 are 2 x 191

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

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

Steps to Calculate GCD of 917, 925, 382, 972 using LCM Formula

Given numbers are 917, 925, 382, 972

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

Apply this formula for all numbers.

Step1:

LCM(917, 925) = 848225

GCD(917, 925) = ( 917 x 925 ) / 848225

= 917 / 925

= 917


Step2:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1


Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1


So, Greatest Common Divisor of 917, 925, 382, 972 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 917, 925, 382, 972

Given numbers are 917, 925, 382, 972
The greatest common divisor of numbers 917, 925, 382, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 925, 382, 972 is 1.

FAQs on GCD of 917, 925, 382, 972 Calculator

1. What is the GCD of 917, 925, 382, 972?

GCD of given numbers 917, 925, 382, 972 is 1


2. How to calculate the greatest common divisor of 917, 925, 382, 972?

We can find the highest common divisor of 917, 925, 382, 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 917, 925, 382, 972 i.e 1.


3. How can I use the GCD of 917, 925, 382, 972Calculator?

Out the numbers 917, 925, 382, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.