GCD of 664, 493, 977, 117 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 664, 493, 977, 117 i.e. 1 largest integer that divides all the numbers equally.

GCD of 664, 493, 977, 117 is 1

GCD(664, 493, 977, 117) = 1

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

GCD of

GCD of numbers 664, 493, 977, 117 is 1

GCD(664, 493, 977, 117) = 1

GCD of 664,493,977,117 Calculator

GCDof 664,493,977,117 is 1

Given Input numbers are 664, 493, 977, 117

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 664, 493, 977, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 493, 977, 117 is 1.

Therefore, GCD of numbers 664, 493, 977, 117 is 1

Finding GCD of 664, 493, 977, 117 using Prime Factorization

Given Input Data is 664, 493, 977, 117

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 493 is 17 x 29

Prime Factorization of 977 is 977

Prime Factorization of 117 is 3 x 3 x 13

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

Finding GCD of 664, 493, 977, 117 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(664, 493) = 327352

GCD(664, 493) = ( 664 x 493 ) / 327352

GCD(664, 493) = 327352 / 327352

GCD(664, 493) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 664, 493, 977, 117 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 664, 493, 977, 117

1. What is the GCD of 664, 493, 977, 117?

GCD of 664, 493, 977, 117 is 1


2. Where do I get the detailed procedure to find GCD of 664, 493, 977, 117?

You can find a detailed procedure to find GCD of 664, 493, 977, 117 on our page.


3. How to find GCD of 664, 493, 977, 117 on a calculator?

You can find the GCD of 664, 493, 977, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.