GCD of 296, 616, 90, 325 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 296, 616, 90, 325 i.e. 1 largest integer that divides all the numbers equally.

GCD of 296, 616, 90, 325 is 1

GCD(296, 616, 90, 325) = 1

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

GCD of

GCD of numbers 296, 616, 90, 325 is 1

GCD(296, 616, 90, 325) = 1

GCD of 296,616,90,325 Calculator

GCDof 296,616,90,325 is 1

Given Input numbers are 296, 616, 90, 325

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 296, 616, 90, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 616, 90, 325 is 1.

Therefore, GCD of numbers 296, 616, 90, 325 is 1

Finding GCD of 296, 616, 90, 325 using Prime Factorization

Given Input Data is 296, 616, 90, 325

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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

Prime Factorization of 325 is 5 x 5 x 13

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

Finding GCD of 296, 616, 90, 325 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(296, 616) = 22792

GCD(296, 616) = ( 296 x 616 ) / 22792

GCD(296, 616) = 182336 / 22792

GCD(296, 616) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 90

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

LCM(8, 90) = 360

GCD(8, 90) = ( 8 x 90 ) / 360

GCD(8, 90) = 720 / 360

GCD(8, 90) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 325

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

LCM(2, 325) = 650

GCD(2, 325) = ( 2 x 325 ) / 650

GCD(2, 325) = 650 / 650

GCD(2, 325) = 1

GCD of 296, 616, 90, 325 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 296, 616, 90, 325

1. What is the GCD of 296, 616, 90, 325?

GCD of 296, 616, 90, 325 is 1


2. Where do I get the detailed procedure to find GCD of 296, 616, 90, 325?

You can find a detailed procedure to find GCD of 296, 616, 90, 325 on our page.


3. How to find GCD of 296, 616, 90, 325 on a calculator?

You can find the GCD of 296, 616, 90, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.