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GCD of 500, 935, 355, 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 500, 935, 355, 636 quickly. Get the easiest ways to solve the greatest common divisor of 500, 935, 355, 636 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 935, 355, 636 with Factoring?

Given Input numbers are 500, 935, 355, 636

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 935 :

The positive integer divisors of 935 that completely divides 935 are.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 (500, 935, 355, 636) = 1.

Find GCD of 500, 935, 355, 636 using Prime Factorization

Given numbers are 500, 935, 355, 636

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 935 are 5 x 11 x 17

Prime factors of 355 are 5 x 71

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 500, 935, 355, 636 using LCM Formula

Given numbers are 500, 935, 355, 636

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

Apply this formula for all numbers.

Step1:

LCM(500, 935) = 93500

GCD(500, 935) = ( 500 x 935 ) / 93500

= 500 / 935

= 500


Step2:

LCM(5, 355) = 355

GCD(5, 355) = ( 5 x 355 ) / 355

= 5 / 355

= 5


Step3:

LCM(5, 636) = 3180

GCD(5, 636) = ( 5 x 636 ) / 3180

= 5 / 636

= 5


So, Greatest Common Divisor of 500, 935, 355, 636 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 500, 935, 355, 636

Given numbers are 500, 935, 355, 636
The greatest common divisor of numbers 500, 935, 355, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 935, 355, 636 is 1.

FAQs on GCD of 500, 935, 355, 636 Calculator

1. What is the GCD of 500, 935, 355, 636?

GCD of given numbers 500, 935, 355, 636 is 1


2. How to calculate the greatest common divisor of 500, 935, 355, 636?

We can find the highest common divisor of 500, 935, 355, 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 500, 935, 355, 636 i.e 1.


3. How can I use the GCD of 500, 935, 355, 636Calculator?

Out the numbers 500, 935, 355, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.