GCD of 460, 695, 902 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 460, 695, 902 i.e. 1 largest integer that divides all the numbers equally.

GCD of 460, 695, 902 is 1

GCD(460, 695, 902) = 1

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

GCD of

GCD of numbers 460, 695, 902 is 1

GCD(460, 695, 902) = 1

GCD of 460,695,902 Calculator

GCDof 460,695,902 is 1

Given Input numbers are 460, 695, 902

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 460, 695, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 695, 902 is 1.

Therefore, GCD of numbers 460, 695, 902 is 1

Finding GCD of 460, 695, 902 using Prime Factorization

Given Input Data is 460, 695, 902

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 695 is 5 x 139

Prime Factorization of 902 is 2 x 11 x 41

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

Finding GCD of 460, 695, 902 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(460, 695) = 63940

GCD(460, 695) = ( 460 x 695 ) / 63940

GCD(460, 695) = 319700 / 63940

GCD(460, 695) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 902

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

LCM(5, 902) = 4510

GCD(5, 902) = ( 5 x 902 ) / 4510

GCD(5, 902) = 4510 / 4510

GCD(5, 902) = 1

GCD of 460, 695, 902 is 1

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FAQs on GCD of numbers 460, 695, 902

1. What is the GCD of 460, 695, 902?

GCD of 460, 695, 902 is 1

2. Where do I get the detailed procedure to find GCD of 460, 695, 902?

You can find a detailed procedure to find GCD of 460, 695, 902 on our page.

3. How to find GCD of 460, 695, 902 on a calculator?

You can find the GCD of 460, 695, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.