GCD of 331, 977, 51, 817 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 331, 977, 51, 817 i.e. 1 largest integer that divides all the numbers equally.

GCD of 331, 977, 51, 817 is 1

GCD(331, 977, 51, 817) = 1

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

GCD of

GCD of numbers 331, 977, 51, 817 is 1

GCD(331, 977, 51, 817) = 1

GCD of 331,977,51,817 Calculator

GCDof 331,977,51,817 is 1

Given Input numbers are 331, 977, 51, 817

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 977

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

1, 977

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 331, 977, 51, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 977, 51, 817 is 1.

Therefore, GCD of numbers 331, 977, 51, 817 is 1

Finding GCD of 331, 977, 51, 817 using Prime Factorization

Given Input Data is 331, 977, 51, 817

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

Prime Factorization of 331 is 331

Prime Factorization of 977 is 977

Prime Factorization of 51 is 3 x 17

Prime Factorization of 817 is 19 x 43

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

Finding GCD of 331, 977, 51, 817 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(331, 977) = 323387

GCD(331, 977) = ( 331 x 977 ) / 323387

GCD(331, 977) = 323387 / 323387

GCD(331, 977) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 331, 977, 51, 817 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 331, 977, 51, 817

1. What is the GCD of 331, 977, 51, 817?

GCD of 331, 977, 51, 817 is 1


2. Where do I get the detailed procedure to find GCD of 331, 977, 51, 817?

You can find a detailed procedure to find GCD of 331, 977, 51, 817 on our page.


3. How to find GCD of 331, 977, 51, 817 on a calculator?

You can find the GCD of 331, 977, 51, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.