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 573, 612, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 573, 612, 742 is 1
GCD(573, 612, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 612, 742 is 1
GCD(573, 612, 742) = 1
Given Input numbers are 573, 612, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
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 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 573, 612, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 612, 742 is 1.
Therefore, GCD of numbers 573, 612, 742 is 1
Given Input Data is 573, 612, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 742 is 2 x 7 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(573, 612) = 116892
GCD(573, 612) = ( 573 x 612 ) / 116892
GCD(573, 612) = 350676 / 116892
GCD(573, 612) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
GCD(3, 742) = 2226 / 2226
GCD(3, 742) = 1
GCD of 573, 612, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 612, 742?
GCD of 573, 612, 742 is 1
2. Where do I get the detailed procedure to find GCD of 573, 612, 742?
You can find a detailed procedure to find GCD of 573, 612, 742 on our page.
3. How to find GCD of 573, 612, 742 on a calculator?
You can find the GCD of 573, 612, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.