GCD of 137, 721, 909, 617 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 137, 721, 909, 617 i.e. 1 largest integer that divides all the numbers equally.

GCD of 137, 721, 909, 617 is 1

GCD(137, 721, 909, 617) = 1

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

GCD of

GCD of numbers 137, 721, 909, 617 is 1

GCD(137, 721, 909, 617) = 1

GCD of 137,721,909,617 Calculator

GCDof 137,721,909,617 is 1

Given Input numbers are 137, 721, 909, 617

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 137, 721, 909, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 721, 909, 617 is 1.

Therefore, GCD of numbers 137, 721, 909, 617 is 1

Finding GCD of 137, 721, 909, 617 using Prime Factorization

Given Input Data is 137, 721, 909, 617

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

Prime Factorization of 137 is 137

Prime Factorization of 721 is 7 x 103

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 617 is 617

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

Finding GCD of 137, 721, 909, 617 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(137, 721) = 98777

GCD(137, 721) = ( 137 x 721 ) / 98777

GCD(137, 721) = 98777 / 98777

GCD(137, 721) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 137, 721, 909, 617 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 137, 721, 909, 617

1. What is the GCD of 137, 721, 909, 617?

GCD of 137, 721, 909, 617 is 1


2. Where do I get the detailed procedure to find GCD of 137, 721, 909, 617?

You can find a detailed procedure to find GCD of 137, 721, 909, 617 on our page.


3. How to find GCD of 137, 721, 909, 617 on a calculator?

You can find the GCD of 137, 721, 909, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.