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 numbers 520, 979, 177, 198 is 1
GCD(520, 979, 177, 198) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.