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 376, 999, 591, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 376, 999, 591, 922 is 1
GCD(376, 999, 591, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 376, 999, 591, 922 is 1
GCD(376, 999, 591, 922) = 1
Given Input numbers are 376, 999, 591, 922
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
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 376, 999, 591, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 999, 591, 922 is 1.
Therefore, GCD of numbers 376, 999, 591, 922 is 1
Given Input Data is 376, 999, 591, 922
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 591 is 3 x 197
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(376, 999) = 375624
GCD(376, 999) = ( 376 x 999 ) / 375624
GCD(376, 999) = 375624 / 375624
GCD(376, 999) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 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 376, 999, 591, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 376, 999, 591, 922?
GCD of 376, 999, 591, 922 is 1
2. Where do I get the detailed procedure to find GCD of 376, 999, 591, 922?
You can find a detailed procedure to find GCD of 376, 999, 591, 922 on our page.
3. How to find GCD of 376, 999, 591, 922 on a calculator?
You can find the GCD of 376, 999, 591, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.