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GCD of 217, 375, 636, 724 Calculator

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


Online GCD Calculator is useful to find the GCD of 217, 375, 636, 724 quickly. Get the easiest ways to solve the greatest common divisor of 217, 375, 636, 724 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 217, 375, 636, 724 with Factoring?

Given Input numbers are 217, 375, 636, 724

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724


GCD of numbers is the greatest common divisor

So, the GCD (217, 375, 636, 724) = 1.

Find GCD of 217, 375, 636, 724 using Prime Factorization

Given numbers are 217, 375, 636, 724

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 375 are 3 x 5 x 5 x 5

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

Prime factors of 724 are 2 x 2 x 181

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

Steps to Calculate GCD of 217, 375, 636, 724 using LCM Formula

Given numbers are 217, 375, 636, 724

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

Apply this formula for all numbers.

Step1:

LCM(217, 375) = 81375

GCD(217, 375) = ( 217 x 375 ) / 81375

= 217 / 375

= 217


Step2:

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

= 1 / 636

= 1


Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1


So, Greatest Common Divisor of 217, 375, 636, 724 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 217, 375, 636, 724

Given numbers are 217, 375, 636, 724
The greatest common divisor of numbers 217, 375, 636, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 375, 636, 724 is 1.

FAQs on GCD of 217, 375, 636, 724 Calculator

1. What is the GCD of 217, 375, 636, 724?

GCD of given numbers 217, 375, 636, 724 is 1


2. How to calculate the greatest common divisor of 217, 375, 636, 724?

We can find the highest common divisor of 217, 375, 636, 724 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 217, 375, 636, 724 i.e 1.


3. How can I use the GCD of 217, 375, 636, 724Calculator?

Out the numbers 217, 375, 636, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.