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GCD of 364, 572, 760, 636 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 572, 760, 636 quickly. Get the easiest ways to solve the greatest common divisor of 364, 572, 760, 636 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 572, 760, 636 with Factoring?

Given Input numbers are 364, 572, 760, 636

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

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636


GCD of numbers is the greatest common divisor

So, the GCD (364, 572, 760, 636) = 4.

Find GCD of 364, 572, 760, 636 using Prime Factorization

Given numbers are 364, 572, 760, 636

The list of prime factors of all numbers are

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

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 22

Therefore, GCD of 364, 572, 760, 636 is 4.

Steps to Calculate GCD of 364, 572, 760, 636 using LCM Formula

Given numbers are 364, 572, 760, 636

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

Apply this formula for all numbers.

Step1:

LCM(364, 572) = 4004

GCD(364, 572) = ( 364 x 572 ) / 4004

= 364 / 572

= 364


Step2:

LCM(52, 760) = 9880

GCD(52, 760) = ( 52 x 760 ) / 9880

= 52 / 760

= 52


Step3:

LCM(4, 636) = 636

GCD(4, 636) = ( 4 x 636 ) / 636

= 4 / 636

= 4


So, Greatest Common Divisor of 364, 572, 760, 636 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 572, 760, 636

Given numbers are 364, 572, 760, 636
The greatest common divisor of numbers 364, 572, 760, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 572, 760, 636 is 4.

FAQs on GCD of 364, 572, 760, 636 Calculator

1. What is the GCD of 364, 572, 760, 636?

GCD of given numbers 364, 572, 760, 636 is 4


2. How to calculate the greatest common divisor of 364, 572, 760, 636?

We can find the highest common divisor of 364, 572, 760, 636 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 364, 572, 760, 636 i.e 4.


3. How can I use the GCD of 364, 572, 760, 636Calculator?

Out the numbers 364, 572, 760, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.