GCD of 150, 625, 25 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 150, 625, 25 i.e. 25 largest integer that divides all the numbers equally.

GCD of 150, 625, 25 is 25

GCD(150, 625, 25) = 25

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

GCD of

GCD of numbers 150, 625, 25 is 25

GCD(150, 625, 25) = 25

GCD of 150,625,25 Calculator

GCDof 150,625,25 is 25

Given Input numbers are 150, 625, 25

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Greatest Common Divisior

We found the divisors of 150, 625, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 625, 25 is 25.

Therefore, GCD of numbers 150, 625, 25 is 25

Finding GCD of 150, 625, 25 using Prime Factorization

Given Input Data is 150, 625, 25

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 25 is 5 x 5

Highest common occurrences in the given inputs are 52

Multiplying them we get the GCD as 25

Finding GCD of 150, 625, 25 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(150, 625) = 3750

GCD(150, 625) = ( 150 x 625 ) / 3750

GCD(150, 625) = 93750 / 3750

GCD(150, 625) = 25


Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 25

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

LCM(25, 25) = 25

GCD(25, 25) = ( 25 x 25 ) / 25

GCD(25, 25) = 625 / 25

GCD(25, 25) = 25

GCD of 150, 625, 25 is 25

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 150, 625, 25

1. What is the GCD of 150, 625, 25?

GCD of 150, 625, 25 is 25


2. Where do I get the detailed procedure to find GCD of 150, 625, 25?

You can find a detailed procedure to find GCD of 150, 625, 25 on our page.


3. How to find GCD of 150, 625, 25 on a calculator?

You can find the GCD of 150, 625, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.