GCD of 695, 173, 131, 780 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 695, 173, 131, 780 i.e. 1 largest integer that divides all the numbers equally.

GCD of 695, 173, 131, 780 is 1

GCD(695, 173, 131, 780) = 1

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

GCD of

GCD of numbers 695, 173, 131, 780 is 1

GCD(695, 173, 131, 780) = 1

GCD of 695,173,131,780 Calculator

GCDof 695,173,131,780 is 1

Given Input numbers are 695, 173, 131, 780

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

Divisors of 695

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

1, 5, 139, 695

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 695, 173, 131, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 173, 131, 780 is 1.

Therefore, GCD of numbers 695, 173, 131, 780 is 1

Finding GCD of 695, 173, 131, 780 using Prime Factorization

Given Input Data is 695, 173, 131, 780

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 173 is 173

Prime Factorization of 131 is 131

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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

Finding GCD of 695, 173, 131, 780 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(695, 173) = 120235

GCD(695, 173) = ( 695 x 173 ) / 120235

GCD(695, 173) = 120235 / 120235

GCD(695, 173) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 695, 173, 131, 780 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 695, 173, 131, 780

1. What is the GCD of 695, 173, 131, 780?

GCD of 695, 173, 131, 780 is 1


2. Where do I get the detailed procedure to find GCD of 695, 173, 131, 780?

You can find a detailed procedure to find GCD of 695, 173, 131, 780 on our page.


3. How to find GCD of 695, 173, 131, 780 on a calculator?

You can find the GCD of 695, 173, 131, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.