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GCD of 561, 500, 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 561, 500, 724 quickly. Get the easiest ways to solve the greatest common divisor of 561, 500, 724 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 561, 500, 724 with Factoring?

Given Input numbers are 561, 500, 724

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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 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 (561, 500, 724) = 1.

Find GCD of 561, 500, 724 using Prime Factorization

Given numbers are 561, 500, 724

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

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

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 561, 500, 724 using LCM Formula

Given numbers are 561, 500, 724

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

Apply this formula for all numbers.

Step1:

LCM(561, 500) = 280500

GCD(561, 500) = ( 561 x 500 ) / 280500

= 561 / 500

= 561

Step2:

LCM(1, 724) = 724

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

= 1 / 724

= 1


So, Greatest Common Divisor of 561, 500, 724 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 561, 500, 724

Given numbers are 561, 500, 724
The greatest common divisor of numbers 561, 500, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 500, 724 is 1.

FAQs on GCD of 561, 500, 724 Calculator

1. What is the GCD of 561, 500, 724?

GCD of given numbers 561, 500, 724 is 1

2. How to calculate the greatest common divisor of 561, 500, 724?

We can find the highest common divisor of 561, 500, 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 561, 500, 724 i.e 1.

3. How can I use the GCD of 561, 500, 724Calculator?

Out the numbers 561, 500, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.