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, 208, 649, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 331, 208, 649, 220 is 1
GCD(331, 208, 649, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 331, 208, 649, 220 is 1
GCD(331, 208, 649, 220) = 1
Given Input numbers are 331, 208, 649, 220
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 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 331, 208, 649, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 208, 649, 220 is 1.
Therefore, GCD of numbers 331, 208, 649, 220 is 1
Given Input Data is 331, 208, 649, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 331 is 331
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 649 is 11 x 59
Prime Factorization of 220 is 2 x 2 x 5 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(331, 208) = 68848
GCD(331, 208) = ( 331 x 208 ) / 68848
GCD(331, 208) = 68848 / 68848
GCD(331, 208) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 331, 208, 649, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 331, 208, 649, 220?
GCD of 331, 208, 649, 220 is 1
2. Where do I get the detailed procedure to find GCD of 331, 208, 649, 220?
You can find a detailed procedure to find GCD of 331, 208, 649, 220 on our page.
3. How to find GCD of 331, 208, 649, 220 on a calculator?
You can find the GCD of 331, 208, 649, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.