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, 220, 656, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 627, 220, 656, 997 is 1
GCD(627, 220, 656, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 627, 220, 656, 997 is 1
GCD(627, 220, 656, 997) = 1
Given Input numbers are 627, 220, 656, 997
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 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 627, 220, 656, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 220, 656, 997 is 1.
Therefore, GCD of numbers 627, 220, 656, 997 is 1
Given Input Data is 627, 220, 656, 997
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 220 is 2 x 2 x 5 x 11
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 997 is 997
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, 220) = 12540
GCD(627, 220) = ( 627 x 220 ) / 12540
GCD(627, 220) = 137940 / 12540
GCD(627, 220) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 656) = 7216
GCD(11, 656) = ( 11 x 656 ) / 7216
GCD(11, 656) = 7216 / 7216
GCD(11, 656) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 627, 220, 656, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 627, 220, 656, 997?
GCD of 627, 220, 656, 997 is 1
2. Where do I get the detailed procedure to find GCD of 627, 220, 656, 997?
You can find a detailed procedure to find GCD of 627, 220, 656, 997 on our page.
3. How to find GCD of 627, 220, 656, 997 on a calculator?
You can find the GCD of 627, 220, 656, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.