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GCD of 634, 364, 726, 362 Calculator

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


Online GCD Calculator is useful to find the GCD of 634, 364, 726, 362 quickly. Get the easiest ways to solve the greatest common divisor of 634, 364, 726, 362 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 634, 364, 726, 362 with Factoring?

Given Input numbers are 634, 364, 726, 362

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

Divisors of 634 :

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

1, 2, 317, 634

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362


GCD of numbers is the greatest common divisor

So, the GCD (634, 364, 726, 362) = 2.

Find GCD of 634, 364, 726, 362 using Prime Factorization

Given numbers are 634, 364, 726, 362

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 362 are 2 x 181

The highest common occurrence is 21

Therefore, GCD of 634, 364, 726, 362 is 2.

Steps to Calculate GCD of 634, 364, 726, 362 using LCM Formula

Given numbers are 634, 364, 726, 362

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

Apply this formula for all numbers.

Step1:

LCM(634, 364) = 115388

GCD(634, 364) = ( 634 x 364 ) / 115388

= 634 / 364

= 634


Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2


Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2


So, Greatest Common Divisor of 634, 364, 726, 362 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 634, 364, 726, 362

Given numbers are 634, 364, 726, 362
The greatest common divisor of numbers 634, 364, 726, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 364, 726, 362 is 2.

FAQs on GCD of 634, 364, 726, 362 Calculator

1. What is the GCD of 634, 364, 726, 362?

GCD of given numbers 634, 364, 726, 362 is 2


2. How to calculate the greatest common divisor of 634, 364, 726, 362?

We can find the highest common divisor of 634, 364, 726, 362 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 634, 364, 726, 362 i.e 2.


3. How can I use the GCD of 634, 364, 726, 362Calculator?

Out the numbers 634, 364, 726, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.