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 612, 296, 397, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 296, 397, 366 is 1
GCD(612, 296, 397, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 296, 397, 366 is 1
GCD(612, 296, 397, 366) = 1
Given Input numbers are 612, 296, 397, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 612, 296, 397, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 296, 397, 366 is 1.
Therefore, GCD of numbers 612, 296, 397, 366 is 1
Given Input Data is 612, 296, 397, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 397 is 397
Prime Factorization of 366 is 2 x 3 x 61
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(612, 296) = 45288
GCD(612, 296) = ( 612 x 296 ) / 45288
GCD(612, 296) = 181152 / 45288
GCD(612, 296) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 397) = 1588
GCD(4, 397) = ( 4 x 397 ) / 1588
GCD(4, 397) = 1588 / 1588
GCD(4, 397) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 612, 296, 397, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 296, 397, 366?
GCD of 612, 296, 397, 366 is 1
2. Where do I get the detailed procedure to find GCD of 612, 296, 397, 366?
You can find a detailed procedure to find GCD of 612, 296, 397, 366 on our page.
3. How to find GCD of 612, 296, 397, 366 on a calculator?
You can find the GCD of 612, 296, 397, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.