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 331, 363, 21, 661 i.e. 1 largest integer that divides all the numbers equally.
GCD of 331, 363, 21, 661 is 1
GCD(331, 363, 21, 661) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 331, 363, 21, 661 is 1
GCD(331, 363, 21, 661) = 1
Given Input numbers are 331, 363, 21, 661
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Greatest Common Divisior
We found the divisors of 331, 363, 21, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 363, 21, 661 is 1.
Therefore, GCD of numbers 331, 363, 21, 661 is 1
Given Input Data is 331, 363, 21, 661
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 331 is 331
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 21 is 3 x 7
Prime Factorization of 661 is 661
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(331, 363) = 120153
GCD(331, 363) = ( 331 x 363 ) / 120153
GCD(331, 363) = 120153 / 120153
GCD(331, 363) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 661) = 661
GCD(1, 661) = ( 1 x 661 ) / 661
GCD(1, 661) = 661 / 661
GCD(1, 661) = 1
GCD of 331, 363, 21, 661 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 331, 363, 21, 661?
GCD of 331, 363, 21, 661 is 1
2. Where do I get the detailed procedure to find GCD of 331, 363, 21, 661?
You can find a detailed procedure to find GCD of 331, 363, 21, 661 on our page.
3. How to find GCD of 331, 363, 21, 661 on a calculator?
You can find the GCD of 331, 363, 21, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.