GCD of 682, 919, 90, 225 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 682, 919, 90, 225 i.e. 1 largest integer that divides all the numbers equally.

GCD of 682, 919, 90, 225 is 1

GCD(682, 919, 90, 225) = 1

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

GCD of

GCD of numbers 682, 919, 90, 225 is 1

GCD(682, 919, 90, 225) = 1

GCD of 682,919,90,225 Calculator

GCDof 682,919,90,225 is 1

Given Input numbers are 682, 919, 90, 225

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 682, 919, 90, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 919, 90, 225 is 1.

Therefore, GCD of numbers 682, 919, 90, 225 is 1

Finding GCD of 682, 919, 90, 225 using Prime Factorization

Given Input Data is 682, 919, 90, 225

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 919 is 919

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

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

Finding GCD of 682, 919, 90, 225 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(682, 919) = 626758

GCD(682, 919) = ( 682 x 919 ) / 626758

GCD(682, 919) = 626758 / 626758

GCD(682, 919) = 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


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 682, 919, 90, 225 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 682, 919, 90, 225

1. What is the GCD of 682, 919, 90, 225?

GCD of 682, 919, 90, 225 is 1


2. Where do I get the detailed procedure to find GCD of 682, 919, 90, 225?

You can find a detailed procedure to find GCD of 682, 919, 90, 225 on our page.


3. How to find GCD of 682, 919, 90, 225 on a calculator?

You can find the GCD of 682, 919, 90, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.