GCD of 72, 64, 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 72, 64, 75 i.e. 1 largest integer that divides all the numbers equally.

GCD of 72, 64, 75 is 1

GCD(72, 64, 75) = 1

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

GCD of

GCD of numbers 72, 64, 75 is 1

GCD(72, 64, 75) = 1

GCD of 72,64,75 Calculator

GCDof 72,64,75 is 1

Given Input numbers are 72, 64, 75

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 72, 64, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 64, 75 is 1.

Therefore, GCD of numbers 72, 64, 75 is 1

Finding GCD of 72, 64, 75 using Prime Factorization

Given Input Data is 72, 64, 75

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 75 is 3 x 5 x 5

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

Finding GCD of 72, 64, 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(72, 64) = 576

GCD(72, 64) = ( 72 x 64 ) / 576

GCD(72, 64) = 4608 / 576

GCD(72, 64) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 75

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

LCM(8, 75) = 600

GCD(8, 75) = ( 8 x 75 ) / 600

GCD(8, 75) = 600 / 600

GCD(8, 75) = 1

GCD of 72, 64, 75 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 72, 64, 75

1. What is the GCD of 72, 64, 75?

GCD of 72, 64, 75 is 1


2. Where do I get the detailed procedure to find GCD of 72, 64, 75?

You can find a detailed procedure to find GCD of 72, 64, 75 on our page.


3. How to find GCD of 72, 64, 75 on a calculator?

You can find the GCD of 72, 64, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.