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 363, 220, 32, 831 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 220, 32, 831 is 1
GCD(363, 220, 32, 831) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 220, 32, 831 is 1
GCD(363, 220, 32, 831) = 1
Given Input numbers are 363, 220, 32, 831
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
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
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Greatest Common Divisior
We found the divisors of 363, 220, 32, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 220, 32, 831 is 1.
Therefore, GCD of numbers 363, 220, 32, 831 is 1
Given Input Data is 363, 220, 32, 831
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 831 is 3 x 277
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(363, 220) = 7260
GCD(363, 220) = ( 363 x 220 ) / 7260
GCD(363, 220) = 79860 / 7260
GCD(363, 220) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 32) = 352
GCD(11, 32) = ( 11 x 32 ) / 352
GCD(11, 32) = 352 / 352
GCD(11, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
GCD of 363, 220, 32, 831 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 220, 32, 831?
GCD of 363, 220, 32, 831 is 1
2. Where do I get the detailed procedure to find GCD of 363, 220, 32, 831?
You can find a detailed procedure to find GCD of 363, 220, 32, 831 on our page.
3. How to find GCD of 363, 220, 32, 831 on a calculator?
You can find the GCD of 363, 220, 32, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.