GCD of 512, 125, 157, 180 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 512, 125, 157, 180 i.e. 1 largest integer that divides all the numbers equally.

GCD of 512, 125, 157, 180 is 1

GCD(512, 125, 157, 180) = 1

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

GCD of

GCD of numbers 512, 125, 157, 180 is 1

GCD(512, 125, 157, 180) = 1

GCD of 512,125,157,180 Calculator

GCDof 512,125,157,180 is 1

Given Input numbers are 512, 125, 157, 180

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 512, 125, 157, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 125, 157, 180 is 1.

Therefore, GCD of numbers 512, 125, 157, 180 is 1

Finding GCD of 512, 125, 157, 180 using Prime Factorization

Given Input Data is 512, 125, 157, 180

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 157 is 157

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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

Finding GCD of 512, 125, 157, 180 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(512, 125) = 64000

GCD(512, 125) = ( 512 x 125 ) / 64000

GCD(512, 125) = 64000 / 64000

GCD(512, 125) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 512, 125, 157, 180 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 512, 125, 157, 180

1. What is the GCD of 512, 125, 157, 180?

GCD of 512, 125, 157, 180 is 1


2. Where do I get the detailed procedure to find GCD of 512, 125, 157, 180?

You can find a detailed procedure to find GCD of 512, 125, 157, 180 on our page.


3. How to find GCD of 512, 125, 157, 180 on a calculator?

You can find the GCD of 512, 125, 157, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.