GCD of 635, 696, 51 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 635, 696, 51 i.e. 1 largest integer that divides all the numbers equally.

GCD of 635, 696, 51 is 1

GCD(635, 696, 51) = 1

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

GCD of

GCD of numbers 635, 696, 51 is 1

GCD(635, 696, 51) = 1

GCD of 635,696,51 Calculator

GCDof 635,696,51 is 1

Given Input numbers are 635, 696, 51

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 635, 696, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 696, 51 is 1.

Therefore, GCD of numbers 635, 696, 51 is 1

Finding GCD of 635, 696, 51 using Prime Factorization

Given Input Data is 635, 696, 51

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 51 is 3 x 17

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

Finding GCD of 635, 696, 51 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(635, 696) = 441960

GCD(635, 696) = ( 635 x 696 ) / 441960

GCD(635, 696) = 441960 / 441960

GCD(635, 696) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

GCD of 635, 696, 51 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 635, 696, 51

1. What is the GCD of 635, 696, 51?

GCD of 635, 696, 51 is 1


2. Where do I get the detailed procedure to find GCD of 635, 696, 51?

You can find a detailed procedure to find GCD of 635, 696, 51 on our page.


3. How to find GCD of 635, 696, 51 on a calculator?

You can find the GCD of 635, 696, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.