GCD of 364, 617, 131, 661 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 364, 617, 131, 661 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 617, 131, 661 is 1

GCD(364, 617, 131, 661) = 1

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

GCD of

GCD of numbers 364, 617, 131, 661 is 1

GCD(364, 617, 131, 661) = 1

GCD of 364,617,131,661 Calculator

GCDof 364,617,131,661 is 1

Given Input numbers are 364, 617, 131, 661

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 617

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

1, 617

Divisors of 131

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

1, 131

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 364, 617, 131, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 617, 131, 661 is 1.

Therefore, GCD of numbers 364, 617, 131, 661 is 1

Finding GCD of 364, 617, 131, 661 using Prime Factorization

Given Input Data is 364, 617, 131, 661

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 617 is 617

Prime Factorization of 131 is 131

Prime Factorization of 661 is 661

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

Finding GCD of 364, 617, 131, 661 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(364, 617) = 224588

GCD(364, 617) = ( 364 x 617 ) / 224588

GCD(364, 617) = 224588 / 224588

GCD(364, 617) = 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 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 364, 617, 131, 661 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 617, 131, 661

1. What is the GCD of 364, 617, 131, 661?

GCD of 364, 617, 131, 661 is 1


2. Where do I get the detailed procedure to find GCD of 364, 617, 131, 661?

You can find a detailed procedure to find GCD of 364, 617, 131, 661 on our page.


3. How to find GCD of 364, 617, 131, 661 on a calculator?

You can find the GCD of 364, 617, 131, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.