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 921, 311, 72, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 921, 311, 72, 491 is 1
GCD(921, 311, 72, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 921, 311, 72, 491 is 1
GCD(921, 311, 72, 491) = 1
Given Input numbers are 921, 311, 72, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 921, 311, 72, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 311, 72, 491 is 1.
Therefore, GCD of numbers 921, 311, 72, 491 is 1
Given Input Data is 921, 311, 72, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 921 is 3 x 307
Prime Factorization of 311 is 311
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 491 is 491
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(921, 311) = 286431
GCD(921, 311) = ( 921 x 311 ) / 286431
GCD(921, 311) = 286431 / 286431
GCD(921, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 921, 311, 72, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 921, 311, 72, 491?
GCD of 921, 311, 72, 491 is 1
2. Where do I get the detailed procedure to find GCD of 921, 311, 72, 491?
You can find a detailed procedure to find GCD of 921, 311, 72, 491 on our page.
3. How to find GCD of 921, 311, 72, 491 on a calculator?
You can find the GCD of 921, 311, 72, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.