GCD of 635, 462, 31, 316 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, 462, 31, 316 i.e. 1 largest integer that divides all the numbers equally.

GCD of 635, 462, 31, 316 is 1

GCD(635, 462, 31, 316) = 1

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

GCD of

GCD of numbers 635, 462, 31, 316 is 1

GCD(635, 462, 31, 316) = 1

GCD of 635,462,31,316 Calculator

GCDof 635,462,31,316 is 1

Given Input numbers are 635, 462, 31, 316

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 635, 462, 31, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 462, 31, 316 is 1.

Therefore, GCD of numbers 635, 462, 31, 316 is 1

Finding GCD of 635, 462, 31, 316 using Prime Factorization

Given Input Data is 635, 462, 31, 316

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 31 is 31

Prime Factorization of 316 is 2 x 2 x 79

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

Finding GCD of 635, 462, 31, 316 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, 462) = 293370

GCD(635, 462) = ( 635 x 462 ) / 293370

GCD(635, 462) = 293370 / 293370

GCD(635, 462) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 635, 462, 31, 316 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 635, 462, 31, 316

1. What is the GCD of 635, 462, 31, 316?

GCD of 635, 462, 31, 316 is 1


2. Where do I get the detailed procedure to find GCD of 635, 462, 31, 316?

You can find a detailed procedure to find GCD of 635, 462, 31, 316 on our page.


3. How to find GCD of 635, 462, 31, 316 on a calculator?

You can find the GCD of 635, 462, 31, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.