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 831, 304, 91, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 304, 91, 220 is 1
GCD(831, 304, 91, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 304, 91, 220 is 1
GCD(831, 304, 91, 220) = 1
Given Input numbers are 831, 304, 91, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
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 831, 304, 91, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 304, 91, 220 is 1.
Therefore, GCD of numbers 831, 304, 91, 220 is 1
Given Input Data is 831, 304, 91, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 91 is 7 x 13
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(831, 304) = 252624
GCD(831, 304) = ( 831 x 304 ) / 252624
GCD(831, 304) = 252624 / 252624
GCD(831, 304) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 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 831, 304, 91, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 304, 91, 220?
GCD of 831, 304, 91, 220 is 1
2. Where do I get the detailed procedure to find GCD of 831, 304, 91, 220?
You can find a detailed procedure to find GCD of 831, 304, 91, 220 on our page.
3. How to find GCD of 831, 304, 91, 220 on a calculator?
You can find the GCD of 831, 304, 91, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.