GCD of 231, 824, 715, 132 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 231, 824, 715, 132 i.e. 1 largest integer that divides all the numbers equally.

GCD of 231, 824, 715, 132 is 1

GCD(231, 824, 715, 132) = 1

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

GCD of

GCD of numbers 231, 824, 715, 132 is 1

GCD(231, 824, 715, 132) = 1

GCD of 231,824,715,132 Calculator

GCDof 231,824,715,132 is 1

Given Input numbers are 231, 824, 715, 132

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 231, 824, 715, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 824, 715, 132 is 1.

Therefore, GCD of numbers 231, 824, 715, 132 is 1

Finding GCD of 231, 824, 715, 132 using Prime Factorization

Given Input Data is 231, 824, 715, 132

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

Finding GCD of 231, 824, 715, 132 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(231, 824) = 190344

GCD(231, 824) = ( 231 x 824 ) / 190344

GCD(231, 824) = 190344 / 190344

GCD(231, 824) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 231, 824, 715, 132 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 231, 824, 715, 132

1. What is the GCD of 231, 824, 715, 132?

GCD of 231, 824, 715, 132 is 1


2. Where do I get the detailed procedure to find GCD of 231, 824, 715, 132?

You can find a detailed procedure to find GCD of 231, 824, 715, 132 on our page.


3. How to find GCD of 231, 824, 715, 132 on a calculator?

You can find the GCD of 231, 824, 715, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.