GCD of 292, 187, 90 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 292, 187, 90 i.e. 1 largest integer that divides all the numbers equally.

GCD of 292, 187, 90 is 1

GCD(292, 187, 90) = 1

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

GCD of

GCD of numbers 292, 187, 90 is 1

GCD(292, 187, 90) = 1

GCD of 292,187,90 Calculator

GCDof 292,187,90 is 1

Given Input numbers are 292, 187, 90

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 292, 187, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 187, 90 is 1.

Therefore, GCD of numbers 292, 187, 90 is 1

Finding GCD of 292, 187, 90 using Prime Factorization

Given Input Data is 292, 187, 90

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 187 is 11 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

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

Finding GCD of 292, 187, 90 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(292, 187) = 54604

GCD(292, 187) = ( 292 x 187 ) / 54604

GCD(292, 187) = 54604 / 54604

GCD(292, 187) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

GCD of 292, 187, 90 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 292, 187, 90

1. What is the GCD of 292, 187, 90?

GCD of 292, 187, 90 is 1


2. Where do I get the detailed procedure to find GCD of 292, 187, 90?

You can find a detailed procedure to find GCD of 292, 187, 90 on our page.


3. How to find GCD of 292, 187, 90 on a calculator?

You can find the GCD of 292, 187, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.