GCD of 974, 477, 21, 387 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 974, 477, 21, 387 i.e. 1 largest integer that divides all the numbers equally.

GCD of 974, 477, 21, 387 is 1

GCD(974, 477, 21, 387) = 1

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

GCD of

GCD of numbers 974, 477, 21, 387 is 1

GCD(974, 477, 21, 387) = 1

GCD of 974,477,21,387 Calculator

GCDof 974,477,21,387 is 1

Given Input numbers are 974, 477, 21, 387

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 974, 477, 21, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 477, 21, 387 is 1.

Therefore, GCD of numbers 974, 477, 21, 387 is 1

Finding GCD of 974, 477, 21, 387 using Prime Factorization

Given Input Data is 974, 477, 21, 387

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 21 is 3 x 7

Prime Factorization of 387 is 3 x 3 x 43

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

Finding GCD of 974, 477, 21, 387 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(974, 477) = 464598

GCD(974, 477) = ( 974 x 477 ) / 464598

GCD(974, 477) = 464598 / 464598

GCD(974, 477) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 974, 477, 21, 387 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 974, 477, 21, 387

1. What is the GCD of 974, 477, 21, 387?

GCD of 974, 477, 21, 387 is 1


2. Where do I get the detailed procedure to find GCD of 974, 477, 21, 387?

You can find a detailed procedure to find GCD of 974, 477, 21, 387 on our page.


3. How to find GCD of 974, 477, 21, 387 on a calculator?

You can find the GCD of 974, 477, 21, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.