GCD of 32, 79, 14, 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 32, 79, 14, 75 i.e. 1 largest integer that divides all the numbers equally.

GCD of 32, 79, 14, 75 is 1

GCD(32, 79, 14, 75) = 1

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

GCD of

GCD of numbers 32, 79, 14, 75 is 1

GCD(32, 79, 14, 75) = 1

GCD of 32,79,14,75 Calculator

GCDof 32,79,14,75 is 1

Given Input numbers are 32, 79, 14, 75

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 32, 79, 14, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 79, 14, 75 is 1.

Therefore, GCD of numbers 32, 79, 14, 75 is 1

Finding GCD of 32, 79, 14, 75 using Prime Factorization

Given Input Data is 32, 79, 14, 75

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 79 is 79

Prime Factorization of 14 is 2 x 7

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 32, 79, 14, 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(32, 79) = 2528

GCD(32, 79) = ( 32 x 79 ) / 2528

GCD(32, 79) = 2528 / 2528

GCD(32, 79) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

GCD of 32, 79, 14, 75 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 32, 79, 14, 75

1. What is the GCD of 32, 79, 14, 75?

GCD of 32, 79, 14, 75 is 1


2. Where do I get the detailed procedure to find GCD of 32, 79, 14, 75?

You can find a detailed procedure to find GCD of 32, 79, 14, 75 on our page.


3. How to find GCD of 32, 79, 14, 75 on a calculator?

You can find the GCD of 32, 79, 14, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.