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 790, 722, 57, 592 i.e. 1 largest integer that divides all the numbers equally.
GCD of 790, 722, 57, 592 is 1
GCD(790, 722, 57, 592) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 790, 722, 57, 592 is 1
GCD(790, 722, 57, 592) = 1
Given Input numbers are 790, 722, 57, 592
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Greatest Common Divisior
We found the divisors of 790, 722, 57, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 722, 57, 592 is 1.
Therefore, GCD of numbers 790, 722, 57, 592 is 1
Given Input Data is 790, 722, 57, 592
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 57 is 3 x 19
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
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(790, 722) = 285190
GCD(790, 722) = ( 790 x 722 ) / 285190
GCD(790, 722) = 570380 / 285190
GCD(790, 722) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 592) = 592
GCD(1, 592) = ( 1 x 592 ) / 592
GCD(1, 592) = 592 / 592
GCD(1, 592) = 1
GCD of 790, 722, 57, 592 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 790, 722, 57, 592?
GCD of 790, 722, 57, 592 is 1
2. Where do I get the detailed procedure to find GCD of 790, 722, 57, 592?
You can find a detailed procedure to find GCD of 790, 722, 57, 592 on our page.
3. How to find GCD of 790, 722, 57, 592 on a calculator?
You can find the GCD of 790, 722, 57, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.