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GCD of 356, 684, 634, 234 Calculator

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


Online GCD Calculator is useful to find the GCD of 356, 684, 634, 234 quickly. Get the easiest ways to solve the greatest common divisor of 356, 684, 634, 234 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 356, 684, 634, 234 with Factoring?

Given Input numbers are 356, 684, 634, 234

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234


GCD of numbers is the greatest common divisor

So, the GCD (356, 684, 634, 234) = 2.

Find GCD of 356, 684, 634, 234 using Prime Factorization

Given numbers are 356, 684, 634, 234

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 634 are 2 x 317

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 356, 684, 634, 234 is 2.

Steps to Calculate GCD of 356, 684, 634, 234 using LCM Formula

Given numbers are 356, 684, 634, 234

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

Apply this formula for all numbers.

Step1:

LCM(356, 684) = 60876

GCD(356, 684) = ( 356 x 684 ) / 60876

= 356 / 684

= 356


Step2:

LCM(4, 634) = 1268

GCD(4, 634) = ( 4 x 634 ) / 1268

= 4 / 634

= 4


Step3:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2


So, Greatest Common Divisor of 356, 684, 634, 234 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 356, 684, 634, 234

Given numbers are 356, 684, 634, 234
The greatest common divisor of numbers 356, 684, 634, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 684, 634, 234 is 2.

FAQs on GCD of 356, 684, 634, 234 Calculator

1. What is the GCD of 356, 684, 634, 234?

GCD of given numbers 356, 684, 634, 234 is 2


2. How to calculate the greatest common divisor of 356, 684, 634, 234?

We can find the highest common divisor of 356, 684, 634, 234 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 356, 684, 634, 234 i.e 2.


3. How can I use the GCD of 356, 684, 634, 234Calculator?

Out the numbers 356, 684, 634, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.