GCD of 137, 707, 971, 517 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, 707, 971, 517 i.e. 1 largest integer that divides all the numbers equally.

GCD of 137, 707, 971, 517 is 1

GCD(137, 707, 971, 517) = 1

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

GCD of

GCD of numbers 137, 707, 971, 517 is 1

GCD(137, 707, 971, 517) = 1

GCD of 137,707,971,517 Calculator

GCDof 137,707,971,517 is 1

Given Input numbers are 137, 707, 971, 517

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 137, 707, 971, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 707, 971, 517 is 1.

Therefore, GCD of numbers 137, 707, 971, 517 is 1

Finding GCD of 137, 707, 971, 517 using Prime Factorization

Given Input Data is 137, 707, 971, 517

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

Prime Factorization of 137 is 137

Prime Factorization of 707 is 7 x 101

Prime Factorization of 971 is 971

Prime Factorization of 517 is 11 x 47

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

Finding GCD of 137, 707, 971, 517 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, 707) = 96859

GCD(137, 707) = ( 137 x 707 ) / 96859

GCD(137, 707) = 96859 / 96859

GCD(137, 707) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 137, 707, 971, 517 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 137, 707, 971, 517

1. What is the GCD of 137, 707, 971, 517?

GCD of 137, 707, 971, 517 is 1


2. Where do I get the detailed procedure to find GCD of 137, 707, 971, 517?

You can find a detailed procedure to find GCD of 137, 707, 971, 517 on our page.


3. How to find GCD of 137, 707, 971, 517 on a calculator?

You can find the GCD of 137, 707, 971, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.