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 31, 441, 201, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 441, 201, 120 is 1
GCD(31, 441, 201, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 441, 201, 120 is 1
GCD(31, 441, 201, 120) = 1
Given Input numbers are 31, 441, 201, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 31, 441, 201, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 441, 201, 120 is 1.
Therefore, GCD of numbers 31, 441, 201, 120 is 1
Given Input Data is 31, 441, 201, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 201 is 3 x 67
Prime Factorization of 120 is 2 x 2 x 2 x 3 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(31, 441) = 13671
GCD(31, 441) = ( 31 x 441 ) / 13671
GCD(31, 441) = 13671 / 13671
GCD(31, 441) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
GCD(1, 201) = 201 / 201
GCD(1, 201) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 31, 441, 201, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 441, 201, 120?
GCD of 31, 441, 201, 120 is 1
2. Where do I get the detailed procedure to find GCD of 31, 441, 201, 120?
You can find a detailed procedure to find GCD of 31, 441, 201, 120 on our page.
3. How to find GCD of 31, 441, 201, 120 on a calculator?
You can find the GCD of 31, 441, 201, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.