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 387, 294, 97, 318 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 294, 97, 318 is 1
GCD(387, 294, 97, 318) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 294, 97, 318 is 1
GCD(387, 294, 97, 318) = 1
Given Input numbers are 387, 294, 97, 318
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Greatest Common Divisior
We found the divisors of 387, 294, 97, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 294, 97, 318 is 1.
Therefore, GCD of numbers 387, 294, 97, 318 is 1
Given Input Data is 387, 294, 97, 318
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 97 is 97
Prime Factorization of 318 is 2 x 3 x 53
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(387, 294) = 37926
GCD(387, 294) = ( 387 x 294 ) / 37926
GCD(387, 294) = 113778 / 37926
GCD(387, 294) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 97) = 291
GCD(3, 97) = ( 3 x 97 ) / 291
GCD(3, 97) = 291 / 291
GCD(3, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
GCD of 387, 294, 97, 318 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 294, 97, 318?
GCD of 387, 294, 97, 318 is 1
2. Where do I get the detailed procedure to find GCD of 387, 294, 97, 318?
You can find a detailed procedure to find GCD of 387, 294, 97, 318 on our page.
3. How to find GCD of 387, 294, 97, 318 on a calculator?
You can find the GCD of 387, 294, 97, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.