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 311, 472, 52, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 311, 472, 52, 942 is 1
GCD(311, 472, 52, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 311, 472, 52, 942 is 1
GCD(311, 472, 52, 942) = 1
Given Input numbers are 311, 472, 52, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 311, 472, 52, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 472, 52, 942 is 1.
Therefore, GCD of numbers 311, 472, 52, 942 is 1
Given Input Data is 311, 472, 52, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 311 is 311
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 942 is 2 x 3 x 157
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(311, 472) = 146792
GCD(311, 472) = ( 311 x 472 ) / 146792
GCD(311, 472) = 146792 / 146792
GCD(311, 472) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 311, 472, 52, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 311, 472, 52, 942?
GCD of 311, 472, 52, 942 is 1
2. Where do I get the detailed procedure to find GCD of 311, 472, 52, 942?
You can find a detailed procedure to find GCD of 311, 472, 52, 942 on our page.
3. How to find GCD of 311, 472, 52, 942 on a calculator?
You can find the GCD of 311, 472, 52, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.