GCD of 25, 50, 75 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 25, 50, 75 i.e. 25 largest integer that divides all the numbers equally.

GCD of 25, 50, 75 is 25

GCD(25, 50, 75) = 25

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

GCD of

GCD of numbers 25, 50, 75 is 25

GCD(25, 50, 75) = 25

GCD of 25,50,75 Calculator

GCDof 25,50,75 is 25

Given Input numbers are 25, 50, 75

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

Divisors of 25

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

1, 5, 25

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 25, 50, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 50, 75 is 25.

Therefore, GCD of numbers 25, 50, 75 is 25

Finding GCD of 25, 50, 75 using Prime Factorization

Given Input Data is 25, 50, 75

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 75 is 3 x 5 x 5

Highest common occurrences in the given inputs are 52

Multiplying them we get the GCD as 25

Finding GCD of 25, 50, 75 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(25, 50) = 50

GCD(25, 50) = ( 25 x 50 ) / 50

GCD(25, 50) = 1250 / 50

GCD(25, 50) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 75

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

LCM(25, 75) = 75

GCD(25, 75) = ( 25 x 75 ) / 75

GCD(25, 75) = 1875 / 75

GCD(25, 75) = 25

GCD of 25, 50, 75 is 25

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 25, 50, 75

1. What is the GCD of 25, 50, 75?

GCD of 25, 50, 75 is 25

2. Where do I get the detailed procedure to find GCD of 25, 50, 75?

You can find a detailed procedure to find GCD of 25, 50, 75 on our page.

3. How to find GCD of 25, 50, 75 on a calculator?

You can find the GCD of 25, 50, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.