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 592, 658, 58, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 592, 658, 58, 797 is 1
GCD(592, 658, 58, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 592, 658, 58, 797 is 1
GCD(592, 658, 58, 797) = 1
Given Input numbers are 592, 658, 58, 797
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 592, 658, 58, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 658, 58, 797 is 1.
Therefore, GCD of numbers 592, 658, 58, 797 is 1
Given Input Data is 592, 658, 58, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 58 is 2 x 29
Prime Factorization of 797 is 797
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(592, 658) = 194768
GCD(592, 658) = ( 592 x 658 ) / 194768
GCD(592, 658) = 389536 / 194768
GCD(592, 658) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 58) = 58
GCD(2, 58) = ( 2 x 58 ) / 58
GCD(2, 58) = 116 / 58
GCD(2, 58) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 797) = 1594
GCD(2, 797) = ( 2 x 797 ) / 1594
GCD(2, 797) = 1594 / 1594
GCD(2, 797) = 1
GCD of 592, 658, 58, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 592, 658, 58, 797?
GCD of 592, 658, 58, 797 is 1
2. Where do I get the detailed procedure to find GCD of 592, 658, 58, 797?
You can find a detailed procedure to find GCD of 592, 658, 58, 797 on our page.
3. How to find GCD of 592, 658, 58, 797 on a calculator?
You can find the GCD of 592, 658, 58, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.