GCD of 637, 225, 366, 972 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 637, 225, 366, 972 i.e. 1 largest integer that divides all the numbers equally.

GCD of 637, 225, 366, 972 is 1

GCD(637, 225, 366, 972) = 1

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

GCD of

GCD of numbers 637, 225, 366, 972 is 1

GCD(637, 225, 366, 972) = 1

GCD of 637,225,366,972 Calculator

GCDof 637,225,366,972 is 1

Given Input numbers are 637, 225, 366, 972

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

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 637, 225, 366, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 225, 366, 972 is 1.

Therefore, GCD of numbers 637, 225, 366, 972 is 1

Finding GCD of 637, 225, 366, 972 using Prime Factorization

Given Input Data is 637, 225, 366, 972

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Finding GCD of 637, 225, 366, 972 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(637, 225) = 143325

GCD(637, 225) = ( 637 x 225 ) / 143325

GCD(637, 225) = 143325 / 143325

GCD(637, 225) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 637, 225, 366, 972 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 637, 225, 366, 972

1. What is the GCD of 637, 225, 366, 972?

GCD of 637, 225, 366, 972 is 1


2. Where do I get the detailed procedure to find GCD of 637, 225, 366, 972?

You can find a detailed procedure to find GCD of 637, 225, 366, 972 on our page.


3. How to find GCD of 637, 225, 366, 972 on a calculator?

You can find the GCD of 637, 225, 366, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.