GCD of 520, 979, 177, 198 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 520, 979, 177, 198 i.e. 1 largest integer that divides all the numbers equally.

GCD of 520, 979, 177, 198 is 1

GCD(520, 979, 177, 198) = 1

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

GCD of

GCD of numbers 520, 979, 177, 198 is 1

GCD(520, 979, 177, 198) = 1

GCD of 520,979,177,198 Calculator

GCDof 520,979,177,198 is 1

Given Input numbers are 520, 979, 177, 198

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

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

Greatest Common Divisior

We found the divisors of 520, 979, 177, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 979, 177, 198 is 1.

Therefore, GCD of numbers 520, 979, 177, 198 is 1

Finding GCD of 520, 979, 177, 198 using Prime Factorization

Given Input Data is 520, 979, 177, 198

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 979 is 11 x 89

Prime Factorization of 177 is 3 x 59

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

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

Finding GCD of 520, 979, 177, 198 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(520, 979) = 509080

GCD(520, 979) = ( 520 x 979 ) / 509080

GCD(520, 979) = 509080 / 509080

GCD(520, 979) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 520, 979, 177, 198 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 520, 979, 177, 198

1. What is the GCD of 520, 979, 177, 198?

GCD of 520, 979, 177, 198 is 1


2. Where do I get the detailed procedure to find GCD of 520, 979, 177, 198?

You can find a detailed procedure to find GCD of 520, 979, 177, 198 on our page.


3. How to find GCD of 520, 979, 177, 198 on a calculator?

You can find the GCD of 520, 979, 177, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.