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GCD of 508, 325, 716, 644 Calculator

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


Online GCD Calculator is useful to find the GCD of 508, 325, 716, 644 quickly. Get the easiest ways to solve the greatest common divisor of 508, 325, 716, 644 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 508, 325, 716, 644 with Factoring?

Given Input numbers are 508, 325, 716, 644

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644


GCD of numbers is the greatest common divisor

So, the GCD (508, 325, 716, 644) = 1.

Find GCD of 508, 325, 716, 644 using Prime Factorization

Given numbers are 508, 325, 716, 644

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 325 are 5 x 5 x 13

Prime factors of 716 are 2 x 2 x 179

Prime factors of 644 are 2 x 2 x 7 x 23

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

Steps to Calculate GCD of 508, 325, 716, 644 using LCM Formula

Given numbers are 508, 325, 716, 644

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

Apply this formula for all numbers.

Step1:

LCM(508, 325) = 165100

GCD(508, 325) = ( 508 x 325 ) / 165100

= 508 / 325

= 508


Step2:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1


Step3:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1


So, Greatest Common Divisor of 508, 325, 716, 644 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 508, 325, 716, 644

Given numbers are 508, 325, 716, 644
The greatest common divisor of numbers 508, 325, 716, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 325, 716, 644 is 1.

FAQs on GCD of 508, 325, 716, 644 Calculator

1. What is the GCD of 508, 325, 716, 644?

GCD of given numbers 508, 325, 716, 644 is 1


2. How to calculate the greatest common divisor of 508, 325, 716, 644?

We can find the highest common divisor of 508, 325, 716, 644 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 508, 325, 716, 644 i.e 1.


3. How can I use the GCD of 508, 325, 716, 644Calculator?

Out the numbers 508, 325, 716, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.