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GCD of 342, 856, 696, 522 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 856, 696, 522 quickly. Get the easiest ways to solve the greatest common divisor of 342, 856, 696, 522 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 856, 696, 522 with Factoring?

Given Input numbers are 342, 856, 696, 522

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522


GCD of numbers is the greatest common divisor

So, the GCD (342, 856, 696, 522) = 2.

Find GCD of 342, 856, 696, 522 using Prime Factorization

Given numbers are 342, 856, 696, 522

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 21

Therefore, GCD of 342, 856, 696, 522 is 2.

Steps to Calculate GCD of 342, 856, 696, 522 using LCM Formula

Given numbers are 342, 856, 696, 522

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

Apply this formula for all numbers.

Step1:

LCM(342, 856) = 146376

GCD(342, 856) = ( 342 x 856 ) / 146376

= 342 / 856

= 342


Step2:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2


Step3:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2


So, Greatest Common Divisor of 342, 856, 696, 522 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 856, 696, 522

Given numbers are 342, 856, 696, 522
The greatest common divisor of numbers 342, 856, 696, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 856, 696, 522 is 2.

FAQs on GCD of 342, 856, 696, 522 Calculator

1. What is the GCD of 342, 856, 696, 522?

GCD of given numbers 342, 856, 696, 522 is 2


2. How to calculate the greatest common divisor of 342, 856, 696, 522?

We can find the highest common divisor of 342, 856, 696, 522 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 342, 856, 696, 522 i.e 2.


3. How can I use the GCD of 342, 856, 696, 522Calculator?

Out the numbers 342, 856, 696, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.