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 144, 138, 631, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 138, 631, 242 is 1
GCD(144, 138, 631, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 138, 631, 242 is 1
GCD(144, 138, 631, 242) = 1
Given Input numbers are 144, 138, 631, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 144, 138, 631, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 138, 631, 242 is 1.
Therefore, GCD of numbers 144, 138, 631, 242 is 1
Given Input Data is 144, 138, 631, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 631 is 631
Prime Factorization of 242 is 2 x 11 x 11
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(144, 138) = 3312
GCD(144, 138) = ( 144 x 138 ) / 3312
GCD(144, 138) = 19872 / 3312
GCD(144, 138) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 631) = 3786
GCD(6, 631) = ( 6 x 631 ) / 3786
GCD(6, 631) = 3786 / 3786
GCD(6, 631) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 144, 138, 631, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 138, 631, 242?
GCD of 144, 138, 631, 242 is 1
2. Where do I get the detailed procedure to find GCD of 144, 138, 631, 242?
You can find a detailed procedure to find GCD of 144, 138, 631, 242 on our page.
3. How to find GCD of 144, 138, 631, 242 on a calculator?
You can find the GCD of 144, 138, 631, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.