GCD of 872, 542, 107 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 872, 542, 107 i.e. 1 largest integer that divides all the numbers equally.

GCD of 872, 542, 107 is 1

GCD(872, 542, 107) = 1

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

GCD of

GCD of numbers 872, 542, 107 is 1

GCD(872, 542, 107) = 1

GCD of 872,542,107 Calculator

GCDof 872,542,107 is 1

Given Input numbers are 872, 542, 107

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 542

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

1, 2, 271, 542

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 872, 542, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 542, 107 is 1.

Therefore, GCD of numbers 872, 542, 107 is 1

Finding GCD of 872, 542, 107 using Prime Factorization

Given Input Data is 872, 542, 107

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 542 is 2 x 271

Prime Factorization of 107 is 107

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

Finding GCD of 872, 542, 107 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(872, 542) = 236312

GCD(872, 542) = ( 872 x 542 ) / 236312

GCD(872, 542) = 472624 / 236312

GCD(872, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

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

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 872, 542, 107 is 1

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FAQs on GCD of numbers 872, 542, 107

1. What is the GCD of 872, 542, 107?

GCD of 872, 542, 107 is 1

2. Where do I get the detailed procedure to find GCD of 872, 542, 107?

You can find a detailed procedure to find GCD of 872, 542, 107 on our page.

3. How to find GCD of 872, 542, 107 on a calculator?

You can find the GCD of 872, 542, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.