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GCD of 542, 124, 108, 796 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 542, 124, 108, 796 quickly. Get the easiest ways to solve the greatest common divisor of 542, 124, 108, 796 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 542, 124, 108, 796 with Factoring?

Given Input numbers are 542, 124, 108, 796

In the factoring method, we have to find the divisors of all numbers

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796


GCD of numbers is the greatest common divisor

So, the GCD (542, 124, 108, 796) = 2.

Find GCD of 542, 124, 108, 796 using Prime Factorization

Given numbers are 542, 124, 108, 796

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 124 are 2 x 2 x 31

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 21

Therefore, GCD of 542, 124, 108, 796 is 2.

Steps to Calculate GCD of 542, 124, 108, 796 using LCM Formula

Given numbers are 542, 124, 108, 796

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(542, 124) = 33604

GCD(542, 124) = ( 542 x 124 ) / 33604

= 542 / 124

= 542


Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2


Step3:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2


So, Greatest Common Divisor of 542, 124, 108, 796 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 542, 124, 108, 796

Given numbers are 542, 124, 108, 796
The greatest common divisor of numbers 542, 124, 108, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 124, 108, 796 is 2.

FAQs on GCD of 542, 124, 108, 796 Calculator

1. What is the GCD of 542, 124, 108, 796?

GCD of given numbers 542, 124, 108, 796 is 2


2. How to calculate the greatest common divisor of 542, 124, 108, 796?

We can find the highest common divisor of 542, 124, 108, 796 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 542, 124, 108, 796 i.e 2.


3. How can I use the GCD of 542, 124, 108, 796Calculator?

Out the numbers 542, 124, 108, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.