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GCD of 625, 580, 391, 252 Calculator

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


Online GCD Calculator is useful to find the GCD of 625, 580, 391, 252 quickly. Get the easiest ways to solve the greatest common divisor of 625, 580, 391, 252 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 625, 580, 391, 252 with Factoring?

Given Input numbers are 625, 580, 391, 252

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

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252


GCD of numbers is the greatest common divisor

So, the GCD (625, 580, 391, 252) = 1.

Find GCD of 625, 580, 391, 252 using Prime Factorization

Given numbers are 625, 580, 391, 252

The list of prime factors of all numbers are

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 391 are 17 x 23

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

Steps to Calculate GCD of 625, 580, 391, 252 using LCM Formula

Given numbers are 625, 580, 391, 252

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

Apply this formula for all numbers.

Step1:

LCM(625, 580) = 72500

GCD(625, 580) = ( 625 x 580 ) / 72500

= 625 / 580

= 625


Step2:

LCM(5, 391) = 1955

GCD(5, 391) = ( 5 x 391 ) / 1955

= 5 / 391

= 5


Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1


So, Greatest Common Divisor of 625, 580, 391, 252 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 625, 580, 391, 252

Given numbers are 625, 580, 391, 252
The greatest common divisor of numbers 625, 580, 391, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 625, 580, 391, 252 is 1.

FAQs on GCD of 625, 580, 391, 252 Calculator

1. What is the GCD of 625, 580, 391, 252?

GCD of given numbers 625, 580, 391, 252 is 1


2. How to calculate the greatest common divisor of 625, 580, 391, 252?

We can find the highest common divisor of 625, 580, 391, 252 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 625, 580, 391, 252 i.e 1.


3. How can I use the GCD of 625, 580, 391, 252Calculator?

Out the numbers 625, 580, 391, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.