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 998, 636, 79, 510 i.e. 1 largest integer that divides all the numbers equally.
GCD of 998, 636, 79, 510 is 1
GCD(998, 636, 79, 510) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 636, 79, 510 is 1
GCD(998, 636, 79, 510) = 1
Given Input numbers are 998, 636, 79, 510
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 998, 636, 79, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 636, 79, 510 is 1.
Therefore, GCD of numbers 998, 636, 79, 510 is 1
Given Input Data is 998, 636, 79, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 79 is 79
Prime Factorization of 510 is 2 x 3 x 5 x 17
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(998, 636) = 317364
GCD(998, 636) = ( 998 x 636 ) / 317364
GCD(998, 636) = 634728 / 317364
GCD(998, 636) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 79) = 158
GCD(2, 79) = ( 2 x 79 ) / 158
GCD(2, 79) = 158 / 158
GCD(2, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
GCD(1, 510) = 510 / 510
GCD(1, 510) = 1
GCD of 998, 636, 79, 510 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 636, 79, 510?
GCD of 998, 636, 79, 510 is 1
2. Where do I get the detailed procedure to find GCD of 998, 636, 79, 510?
You can find a detailed procedure to find GCD of 998, 636, 79, 510 on our page.
3. How to find GCD of 998, 636, 79, 510 on a calculator?
You can find the GCD of 998, 636, 79, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.