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 617, 631, 27, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 617, 631, 27, 100 is 1
GCD(617, 631, 27, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 617, 631, 27, 100 is 1
GCD(617, 631, 27, 100) = 1
Given Input numbers are 617, 631, 27, 100
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 617, 631, 27, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 631, 27, 100 is 1.
Therefore, GCD of numbers 617, 631, 27, 100 is 1
Given Input Data is 617, 631, 27, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 617 is 617
Prime Factorization of 631 is 631
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 100 is 2 x 2 x 5 x 5
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(617, 631) = 389327
GCD(617, 631) = ( 617 x 631 ) / 389327
GCD(617, 631) = 389327 / 389327
GCD(617, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 617, 631, 27, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 617, 631, 27, 100?
GCD of 617, 631, 27, 100 is 1
2. Where do I get the detailed procedure to find GCD of 617, 631, 27, 100?
You can find a detailed procedure to find GCD of 617, 631, 27, 100 on our page.
3. How to find GCD of 617, 631, 27, 100 on a calculator?
You can find the GCD of 617, 631, 27, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.