GCD of 957, 906, 208, 960 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 957, 906, 208, 960 i.e. 1 largest integer that divides all the numbers equally.

GCD of 957, 906, 208, 960 is 1

GCD(957, 906, 208, 960) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 957, 906, 208, 960 is 1

GCD(957, 906, 208, 960) = 1

GCD of 957,906,208,960 Calculator

GCDof 957,906,208,960 is 1

Given Input numbers are 957, 906, 208, 960

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 957, 906, 208, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 906, 208, 960 is 1.

Therefore, GCD of numbers 957, 906, 208, 960 is 1

Finding GCD of 957, 906, 208, 960 using Prime Factorization

Given Input Data is 957, 906, 208, 960

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Finding GCD of 957, 906, 208, 960 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(957, 906) = 289014

GCD(957, 906) = ( 957 x 906 ) / 289014

GCD(957, 906) = 867042 / 289014

GCD(957, 906) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 208

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

LCM(3, 208) = 624

GCD(3, 208) = ( 3 x 208 ) / 624

GCD(3, 208) = 624 / 624

GCD(3, 208) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 957, 906, 208, 960 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 957, 906, 208, 960

1. What is the GCD of 957, 906, 208, 960?

GCD of 957, 906, 208, 960 is 1


2. Where do I get the detailed procedure to find GCD of 957, 906, 208, 960?

You can find a detailed procedure to find GCD of 957, 906, 208, 960 on our page.


3. How to find GCD of 957, 906, 208, 960 on a calculator?

You can find the GCD of 957, 906, 208, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.