GCD of 360, 375, 710, 636 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 360, 375, 710, 636 i.e. 1 largest integer that divides all the numbers equally.

GCD of 360, 375, 710, 636 is 1

GCD(360, 375, 710, 636) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 360, 375, 710, 636 is 1

GCD(360, 375, 710, 636) = 1

GCD of 360,375,710,636 Calculator

GCDof 360,375,710,636 is 1

Given Input numbers are 360, 375, 710, 636

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 360, 375, 710, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 375, 710, 636 is 1.

Therefore, GCD of numbers 360, 375, 710, 636 is 1

Finding GCD of 360, 375, 710, 636 using Prime Factorization

Given Input Data is 360, 375, 710, 636

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

Finding GCD of 360, 375, 710, 636 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(360, 375) = 9000

GCD(360, 375) = ( 360 x 375 ) / 9000

GCD(360, 375) = 135000 / 9000

GCD(360, 375) = 15


Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 710

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

LCM(15, 710) = 2130

GCD(15, 710) = ( 15 x 710 ) / 2130

GCD(15, 710) = 10650 / 2130

GCD(15, 710) = 5


Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 636

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

LCM(5, 636) = 3180

GCD(5, 636) = ( 5 x 636 ) / 3180

GCD(5, 636) = 3180 / 3180

GCD(5, 636) = 1

GCD of 360, 375, 710, 636 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 360, 375, 710, 636

1. What is the GCD of 360, 375, 710, 636?

GCD of 360, 375, 710, 636 is 1


2. Where do I get the detailed procedure to find GCD of 360, 375, 710, 636?

You can find a detailed procedure to find GCD of 360, 375, 710, 636 on our page.


3. How to find GCD of 360, 375, 710, 636 on a calculator?

You can find the GCD of 360, 375, 710, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.