GCD of 657, 596, 10, 952 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 657, 596, 10, 952 i.e. 1 largest integer that divides all the numbers equally.

GCD of 657, 596, 10, 952 is 1

GCD(657, 596, 10, 952) = 1

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

GCD of

GCD of numbers 657, 596, 10, 952 is 1

GCD(657, 596, 10, 952) = 1

GCD of 657,596,10,952 Calculator

GCDof 657,596,10,952 is 1

Given Input numbers are 657, 596, 10, 952

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 657, 596, 10, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 596, 10, 952 is 1.

Therefore, GCD of numbers 657, 596, 10, 952 is 1

Finding GCD of 657, 596, 10, 952 using Prime Factorization

Given Input Data is 657, 596, 10, 952

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 10 is 2 x 5

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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

Finding GCD of 657, 596, 10, 952 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(657, 596) = 391572

GCD(657, 596) = ( 657 x 596 ) / 391572

GCD(657, 596) = 391572 / 391572

GCD(657, 596) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 657, 596, 10, 952 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 657, 596, 10, 952

1. What is the GCD of 657, 596, 10, 952?

GCD of 657, 596, 10, 952 is 1


2. Where do I get the detailed procedure to find GCD of 657, 596, 10, 952?

You can find a detailed procedure to find GCD of 657, 596, 10, 952 on our page.


3. How to find GCD of 657, 596, 10, 952 on a calculator?

You can find the GCD of 657, 596, 10, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.