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, 316, 97, 268 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 316, 97, 268 is 1
GCD(612, 316, 97, 268) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 316, 97, 268 is 1
GCD(612, 316, 97, 268) = 1
Given Input numbers are 612, 316, 97, 268
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Greatest Common Divisior
We found the divisors of 612, 316, 97, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 316, 97, 268 is 1.
Therefore, GCD of numbers 612, 316, 97, 268 is 1
Given Input Data is 612, 316, 97, 268
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 316 is 2 x 2 x 79
Prime Factorization of 97 is 97
Prime Factorization of 268 is 2 x 2 x 67
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, 316) = 48348
GCD(612, 316) = ( 612 x 316 ) / 48348
GCD(612, 316) = 193392 / 48348
GCD(612, 316) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 97) = 388
GCD(4, 97) = ( 4 x 97 ) / 388
GCD(4, 97) = 388 / 388
GCD(4, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 268
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
GCD(1, 268) = 268 / 268
GCD(1, 268) = 1
GCD of 612, 316, 97, 268 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 316, 97, 268?
GCD of 612, 316, 97, 268 is 1
2. Where do I get the detailed procedure to find GCD of 612, 316, 97, 268?
You can find a detailed procedure to find GCD of 612, 316, 97, 268 on our page.
3. How to find GCD of 612, 316, 97, 268 on a calculator?
You can find the GCD of 612, 316, 97, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.