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, 102, 12, 607 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 102, 12, 607 is 1
GCD(612, 102, 12, 607) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 102, 12, 607 is 1
GCD(612, 102, 12, 607) = 1
Given Input numbers are 612, 102, 12, 607
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 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Greatest Common Divisior
We found the divisors of 612, 102, 12, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 102, 12, 607 is 1.
Therefore, GCD of numbers 612, 102, 12, 607 is 1
Given Input Data is 612, 102, 12, 607
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 102 is 2 x 3 x 17
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 607 is 607
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, 102) = 612
GCD(612, 102) = ( 612 x 102 ) / 612
GCD(612, 102) = 62424 / 612
GCD(612, 102) = 102
Step2:
Here we consider the GCD from the above i.e. 102 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(102, 12) = 204
GCD(102, 12) = ( 102 x 12 ) / 204
GCD(102, 12) = 1224 / 204
GCD(102, 12) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 607) = 3642
GCD(6, 607) = ( 6 x 607 ) / 3642
GCD(6, 607) = 3642 / 3642
GCD(6, 607) = 1
GCD of 612, 102, 12, 607 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 102, 12, 607?
GCD of 612, 102, 12, 607 is 1
2. Where do I get the detailed procedure to find GCD of 612, 102, 12, 607?
You can find a detailed procedure to find GCD of 612, 102, 12, 607 on our page.
3. How to find GCD of 612, 102, 12, 607 on a calculator?
You can find the GCD of 612, 102, 12, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.