GCD of 198, 632, 915, 720 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 198, 632, 915, 720 i.e. 1 largest integer that divides all the numbers equally.

GCD of 198, 632, 915, 720 is 1

GCD(198, 632, 915, 720) = 1

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

GCD of

GCD of numbers 198, 632, 915, 720 is 1

GCD(198, 632, 915, 720) = 1

GCD of 198,632,915,720 Calculator

GCDof 198,632,915,720 is 1

Given Input numbers are 198, 632, 915, 720

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 198, 632, 915, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 632, 915, 720 is 1.

Therefore, GCD of numbers 198, 632, 915, 720 is 1

Finding GCD of 198, 632, 915, 720 using Prime Factorization

Given Input Data is 198, 632, 915, 720

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

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Finding GCD of 198, 632, 915, 720 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(198, 632) = 62568

GCD(198, 632) = ( 198 x 632 ) / 62568

GCD(198, 632) = 125136 / 62568

GCD(198, 632) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 915

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

LCM(2, 915) = 1830

GCD(2, 915) = ( 2 x 915 ) / 1830

GCD(2, 915) = 1830 / 1830

GCD(2, 915) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 198, 632, 915, 720 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 198, 632, 915, 720

1. What is the GCD of 198, 632, 915, 720?

GCD of 198, 632, 915, 720 is 1


2. Where do I get the detailed procedure to find GCD of 198, 632, 915, 720?

You can find a detailed procedure to find GCD of 198, 632, 915, 720 on our page.


3. How to find GCD of 198, 632, 915, 720 on a calculator?

You can find the GCD of 198, 632, 915, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.