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, 106, 73, 598 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 106, 73, 598 is 1
GCD(612, 106, 73, 598) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 106, 73, 598 is 1
GCD(612, 106, 73, 598) = 1
Given Input numbers are 612, 106, 73, 598
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 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Greatest Common Divisior
We found the divisors of 612, 106, 73, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 106, 73, 598 is 1.
Therefore, GCD of numbers 612, 106, 73, 598 is 1
Given Input Data is 612, 106, 73, 598
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 106 is 2 x 53
Prime Factorization of 73 is 73
Prime Factorization of 598 is 2 x 13 x 23
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, 106) = 32436
GCD(612, 106) = ( 612 x 106 ) / 32436
GCD(612, 106) = 64872 / 32436
GCD(612, 106) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 598) = 598
GCD(1, 598) = ( 1 x 598 ) / 598
GCD(1, 598) = 598 / 598
GCD(1, 598) = 1
GCD of 612, 106, 73, 598 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 106, 73, 598?
GCD of 612, 106, 73, 598 is 1
2. Where do I get the detailed procedure to find GCD of 612, 106, 73, 598?
You can find a detailed procedure to find GCD of 612, 106, 73, 598 on our page.
3. How to find GCD of 612, 106, 73, 598 on a calculator?
You can find the GCD of 612, 106, 73, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.