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GCD of 296, 352, 724, 957 Calculator

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


Online GCD Calculator is useful to find the GCD of 296, 352, 724, 957 quickly. Get the easiest ways to solve the greatest common divisor of 296, 352, 724, 957 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 296, 352, 724, 957 with Factoring?

Given Input numbers are 296, 352, 724, 957

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957


GCD of numbers is the greatest common divisor

So, the GCD (296, 352, 724, 957) = 1.

Find GCD of 296, 352, 724, 957 using Prime Factorization

Given numbers are 296, 352, 724, 957

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 724 are 2 x 2 x 181

Prime factors of 957 are 3 x 11 x 29

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

Steps to Calculate GCD of 296, 352, 724, 957 using LCM Formula

Given numbers are 296, 352, 724, 957

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

Apply this formula for all numbers.

Step1:

LCM(296, 352) = 13024

GCD(296, 352) = ( 296 x 352 ) / 13024

= 296 / 352

= 296


Step2:

LCM(8, 724) = 1448

GCD(8, 724) = ( 8 x 724 ) / 1448

= 8 / 724

= 8


Step3:

LCM(4, 957) = 3828

GCD(4, 957) = ( 4 x 957 ) / 3828

= 4 / 957

= 4


So, Greatest Common Divisor of 296, 352, 724, 957 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 296, 352, 724, 957

Given numbers are 296, 352, 724, 957
The greatest common divisor of numbers 296, 352, 724, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 352, 724, 957 is 1.

FAQs on GCD of 296, 352, 724, 957 Calculator

1. What is the GCD of 296, 352, 724, 957?

GCD of given numbers 296, 352, 724, 957 is 1


2. How to calculate the greatest common divisor of 296, 352, 724, 957?

We can find the highest common divisor of 296, 352, 724, 957 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 296, 352, 724, 957 i.e 1.


3. How can I use the GCD of 296, 352, 724, 957Calculator?

Out the numbers 296, 352, 724, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.