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GCD of 636, 720, 286, 598 Calculator

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


Online GCD Calculator is useful to find the GCD of 636, 720, 286, 598 quickly. Get the easiest ways to solve the greatest common divisor of 636, 720, 286, 598 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 636, 720, 286, 598 with Factoring?

Given Input numbers are 636, 720, 286, 598

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

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598


GCD of numbers is the greatest common divisor

So, the GCD (636, 720, 286, 598) = 2.

Find GCD of 636, 720, 286, 598 using Prime Factorization

Given numbers are 636, 720, 286, 598

The list of prime factors of all numbers are

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 286 are 2 x 11 x 13

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 21

Therefore, GCD of 636, 720, 286, 598 is 2.

Steps to Calculate GCD of 636, 720, 286, 598 using LCM Formula

Given numbers are 636, 720, 286, 598

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

Apply this formula for all numbers.

Step1:

LCM(636, 720) = 38160

GCD(636, 720) = ( 636 x 720 ) / 38160

= 636 / 720

= 636


Step2:

LCM(12, 286) = 1716

GCD(12, 286) = ( 12 x 286 ) / 1716

= 12 / 286

= 12


Step3:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2


So, Greatest Common Divisor of 636, 720, 286, 598 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 636, 720, 286, 598

Given numbers are 636, 720, 286, 598
The greatest common divisor of numbers 636, 720, 286, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 720, 286, 598 is 2.

FAQs on GCD of 636, 720, 286, 598 Calculator

1. What is the GCD of 636, 720, 286, 598?

GCD of given numbers 636, 720, 286, 598 is 2


2. How to calculate the greatest common divisor of 636, 720, 286, 598?

We can find the highest common divisor of 636, 720, 286, 598 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 636, 720, 286, 598 i.e 2.


3. How can I use the GCD of 636, 720, 286, 598Calculator?

Out the numbers 636, 720, 286, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.