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GCD of 876, 908, 574, 542 Calculator

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


Online GCD Calculator is useful to find the GCD of 876, 908, 574, 542 quickly. Get the easiest ways to solve the greatest common divisor of 876, 908, 574, 542 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 876, 908, 574, 542 with Factoring?

Given Input numbers are 876, 908, 574, 542

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 542 :

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

1, 2, 271, 542


GCD of numbers is the greatest common divisor

So, the GCD (876, 908, 574, 542) = 2.

Find GCD of 876, 908, 574, 542 using Prime Factorization

Given numbers are 876, 908, 574, 542

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 908 are 2 x 2 x 227

Prime factors of 574 are 2 x 7 x 41

Prime factors of 542 are 2 x 271

The highest common occurrence is 21

Therefore, GCD of 876, 908, 574, 542 is 2.

Steps to Calculate GCD of 876, 908, 574, 542 using LCM Formula

Given numbers are 876, 908, 574, 542

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

Apply this formula for all numbers.

Step1:

LCM(876, 908) = 198852

GCD(876, 908) = ( 876 x 908 ) / 198852

= 876 / 908

= 876


Step2:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4


Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2


So, Greatest Common Divisor of 876, 908, 574, 542 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 876, 908, 574, 542

Given numbers are 876, 908, 574, 542
The greatest common divisor of numbers 876, 908, 574, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 908, 574, 542 is 2.

FAQs on GCD of 876, 908, 574, 542 Calculator

1. What is the GCD of 876, 908, 574, 542?

GCD of given numbers 876, 908, 574, 542 is 2


2. How to calculate the greatest common divisor of 876, 908, 574, 542?

We can find the highest common divisor of 876, 908, 574, 542 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 876, 908, 574, 542 i.e 2.


3. How can I use the GCD of 876, 908, 574, 542Calculator?

Out the numbers 876, 908, 574, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.