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, 319, 594, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 319, 594, 676 is 1
GCD(372, 319, 594, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 319, 594, 676 is 1
GCD(372, 319, 594, 676) = 1
Given Input numbers are 372, 319, 594, 676
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 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 372, 319, 594, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 319, 594, 676 is 1.
Therefore, GCD of numbers 372, 319, 594, 676 is 1
Given Input Data is 372, 319, 594, 676
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 319 is 11 x 29
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 676 is 2 x 2 x 13 x 13
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, 319) = 118668
GCD(372, 319) = ( 372 x 319 ) / 118668
GCD(372, 319) = 118668 / 118668
GCD(372, 319) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 594
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 594) = 594
GCD(1, 594) = ( 1 x 594 ) / 594
GCD(1, 594) = 594 / 594
GCD(1, 594) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
GCD of 372, 319, 594, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 319, 594, 676?
GCD of 372, 319, 594, 676 is 1
2. Where do I get the detailed procedure to find GCD of 372, 319, 594, 676?
You can find a detailed procedure to find GCD of 372, 319, 594, 676 on our page.
3. How to find GCD of 372, 319, 594, 676 on a calculator?
You can find the GCD of 372, 319, 594, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.