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 627, 639, 15, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 627, 639, 15, 517 is 1
GCD(627, 639, 15, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 627, 639, 15, 517 is 1
GCD(627, 639, 15, 517) = 1
Given Input numbers are 627, 639, 15, 517
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 627, 639, 15, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 639, 15, 517 is 1.
Therefore, GCD of numbers 627, 639, 15, 517 is 1
Given Input Data is 627, 639, 15, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 639 is 3 x 3 x 71
Prime Factorization of 15 is 3 x 5
Prime Factorization of 517 is 11 x 47
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(627, 639) = 133551
GCD(627, 639) = ( 627 x 639 ) / 133551
GCD(627, 639) = 400653 / 133551
GCD(627, 639) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 15) = 15
GCD(3, 15) = ( 3 x 15 ) / 15
GCD(3, 15) = 45 / 15
GCD(3, 15) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 517) = 1551
GCD(3, 517) = ( 3 x 517 ) / 1551
GCD(3, 517) = 1551 / 1551
GCD(3, 517) = 1
GCD of 627, 639, 15, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 627, 639, 15, 517?
GCD of 627, 639, 15, 517 is 1
2. Where do I get the detailed procedure to find GCD of 627, 639, 15, 517?
You can find a detailed procedure to find GCD of 627, 639, 15, 517 on our page.
3. How to find GCD of 627, 639, 15, 517 on a calculator?
You can find the GCD of 627, 639, 15, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.