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GCD of 506, 724, 627, 708 Calculator

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


Online GCD Calculator is useful to find the GCD of 506, 724, 627, 708 quickly. Get the easiest ways to solve the greatest common divisor of 506, 724, 627, 708 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 506, 724, 627, 708 with Factoring?

Given Input numbers are 506, 724, 627, 708

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708


GCD of numbers is the greatest common divisor

So, the GCD (506, 724, 627, 708) = 1.

Find GCD of 506, 724, 627, 708 using Prime Factorization

Given numbers are 506, 724, 627, 708

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 724 are 2 x 2 x 181

Prime factors of 627 are 3 x 11 x 19

Prime factors of 708 are 2 x 2 x 3 x 59

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

Steps to Calculate GCD of 506, 724, 627, 708 using LCM Formula

Given numbers are 506, 724, 627, 708

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

Apply this formula for all numbers.

Step1:

LCM(506, 724) = 183172

GCD(506, 724) = ( 506 x 724 ) / 183172

= 506 / 724

= 506


Step2:

LCM(2, 627) = 1254

GCD(2, 627) = ( 2 x 627 ) / 1254

= 2 / 627

= 2


Step3:

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

= 1 / 708

= 1


So, Greatest Common Divisor of 506, 724, 627, 708 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 506, 724, 627, 708

Given numbers are 506, 724, 627, 708
The greatest common divisor of numbers 506, 724, 627, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 724, 627, 708 is 1.

FAQs on GCD of 506, 724, 627, 708 Calculator

1. What is the GCD of 506, 724, 627, 708?

GCD of given numbers 506, 724, 627, 708 is 1


2. How to calculate the greatest common divisor of 506, 724, 627, 708?

We can find the highest common divisor of 506, 724, 627, 708 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 506, 724, 627, 708 i.e 1.


3. How can I use the GCD of 506, 724, 627, 708Calculator?

Out the numbers 506, 724, 627, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.