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 68, 916, 379, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 916, 379, 324 is 1
GCD(68, 916, 379, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 916, 379, 324 is 1
GCD(68, 916, 379, 324) = 1
Given Input numbers are 68, 916, 379, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 68, 916, 379, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 916, 379, 324 is 1.
Therefore, GCD of numbers 68, 916, 379, 324 is 1
Given Input Data is 68, 916, 379, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 379 is 379
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(68, 916) = 15572
GCD(68, 916) = ( 68 x 916 ) / 15572
GCD(68, 916) = 62288 / 15572
GCD(68, 916) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 379) = 1516
GCD(4, 379) = ( 4 x 379 ) / 1516
GCD(4, 379) = 1516 / 1516
GCD(4, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 68, 916, 379, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 916, 379, 324?
GCD of 68, 916, 379, 324 is 1
2. Where do I get the detailed procedure to find GCD of 68, 916, 379, 324?
You can find a detailed procedure to find GCD of 68, 916, 379, 324 on our page.
3. How to find GCD of 68, 916, 379, 324 on a calculator?
You can find the GCD of 68, 916, 379, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.