GCD of 75, 89, 26, 57 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 75, 89, 26, 57 i.e. 1 largest integer that divides all the numbers equally.

GCD of 75, 89, 26, 57 is 1

GCD(75, 89, 26, 57) = 1

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

GCD of

GCD of numbers 75, 89, 26, 57 is 1

GCD(75, 89, 26, 57) = 1

GCD of 75,89,26,57 Calculator

GCDof 75,89,26,57 is 1

Given Input numbers are 75, 89, 26, 57

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Greatest Common Divisior

We found the divisors of 75, 89, 26, 57 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 89, 26, 57 is 1.

Therefore, GCD of numbers 75, 89, 26, 57 is 1

Finding GCD of 75, 89, 26, 57 using Prime Factorization

Given Input Data is 75, 89, 26, 57

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 89 is 89

Prime Factorization of 26 is 2 x 13

Prime Factorization of 57 is 3 x 19

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

Finding GCD of 75, 89, 26, 57 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(75, 89) = 6675

GCD(75, 89) = ( 75 x 89 ) / 6675

GCD(75, 89) = 6675 / 6675

GCD(75, 89) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 26

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

LCM(1, 26) = 26

GCD(1, 26) = ( 1 x 26 ) / 26

GCD(1, 26) = 26 / 26

GCD(1, 26) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

GCD of 75, 89, 26, 57 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 75, 89, 26, 57

1. What is the GCD of 75, 89, 26, 57?

GCD of 75, 89, 26, 57 is 1


2. Where do I get the detailed procedure to find GCD of 75, 89, 26, 57?

You can find a detailed procedure to find GCD of 75, 89, 26, 57 on our page.


3. How to find GCD of 75, 89, 26, 57 on a calculator?

You can find the GCD of 75, 89, 26, 57 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.