GCD of 542, 372, 89, 652 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 542, 372, 89, 652 i.e. 1 largest integer that divides all the numbers equally.

GCD of 542, 372, 89, 652 is 1

GCD(542, 372, 89, 652) = 1

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

GCD of

GCD of numbers 542, 372, 89, 652 is 1

GCD(542, 372, 89, 652) = 1

GCD of 542,372,89,652 Calculator

GCDof 542,372,89,652 is 1

Given Input numbers are 542, 372, 89, 652

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

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 542, 372, 89, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 372, 89, 652 is 1.

Therefore, GCD of numbers 542, 372, 89, 652 is 1

Finding GCD of 542, 372, 89, 652 using Prime Factorization

Given Input Data is 542, 372, 89, 652

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 89 is 89

Prime Factorization of 652 is 2 x 2 x 163

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

Finding GCD of 542, 372, 89, 652 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(542, 372) = 100812

GCD(542, 372) = ( 542 x 372 ) / 100812

GCD(542, 372) = 201624 / 100812

GCD(542, 372) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 542, 372, 89, 652 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 542, 372, 89, 652

1. What is the GCD of 542, 372, 89, 652?

GCD of 542, 372, 89, 652 is 1


2. Where do I get the detailed procedure to find GCD of 542, 372, 89, 652?

You can find a detailed procedure to find GCD of 542, 372, 89, 652 on our page.


3. How to find GCD of 542, 372, 89, 652 on a calculator?

You can find the GCD of 542, 372, 89, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.