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 114, 631, 20, 505 i.e. 1 largest integer that divides all the numbers equally.
GCD of 114, 631, 20, 505 is 1
GCD(114, 631, 20, 505) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 114, 631, 20, 505 is 1
GCD(114, 631, 20, 505) = 1
Given Input numbers are 114, 631, 20, 505
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Greatest Common Divisior
We found the divisors of 114, 631, 20, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 631, 20, 505 is 1.
Therefore, GCD of numbers 114, 631, 20, 505 is 1
Given Input Data is 114, 631, 20, 505
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 631 is 631
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 505 is 5 x 101
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(114, 631) = 71934
GCD(114, 631) = ( 114 x 631 ) / 71934
GCD(114, 631) = 71934 / 71934
GCD(114, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
GCD(1, 505) = 505 / 505
GCD(1, 505) = 1
GCD of 114, 631, 20, 505 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 114, 631, 20, 505?
GCD of 114, 631, 20, 505 is 1
2. Where do I get the detailed procedure to find GCD of 114, 631, 20, 505?
You can find a detailed procedure to find GCD of 114, 631, 20, 505 on our page.
3. How to find GCD of 114, 631, 20, 505 on a calculator?
You can find the GCD of 114, 631, 20, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.