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 372, 310, 81, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 310, 81, 922 is 1
GCD(372, 310, 81, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 310, 81, 922 is 1
GCD(372, 310, 81, 922) = 1
Given Input numbers are 372, 310, 81, 922
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 372, 310, 81, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 310, 81, 922 is 1.
Therefore, GCD of numbers 372, 310, 81, 922 is 1
Given Input Data is 372, 310, 81, 922
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 922 is 2 x 461
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(372, 310) = 1860
GCD(372, 310) = ( 372 x 310 ) / 1860
GCD(372, 310) = 115320 / 1860
GCD(372, 310) = 62
Step2:
Here we consider the GCD from the above i.e. 62 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(62, 81) = 5022
GCD(62, 81) = ( 62 x 81 ) / 5022
GCD(62, 81) = 5022 / 5022
GCD(62, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 372, 310, 81, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 310, 81, 922?
GCD of 372, 310, 81, 922 is 1
2. Where do I get the detailed procedure to find GCD of 372, 310, 81, 922?
You can find a detailed procedure to find GCD of 372, 310, 81, 922 on our page.
3. How to find GCD of 372, 310, 81, 922 on a calculator?
You can find the GCD of 372, 310, 81, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.