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 596, 951, 58, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 596, 951, 58, 159 is 1
GCD(596, 951, 58, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 596, 951, 58, 159 is 1
GCD(596, 951, 58, 159) = 1
Given Input numbers are 596, 951, 58, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 596, 951, 58, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 951, 58, 159 is 1.
Therefore, GCD of numbers 596, 951, 58, 159 is 1
Given Input Data is 596, 951, 58, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 951 is 3 x 317
Prime Factorization of 58 is 2 x 29
Prime Factorization of 159 is 3 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(596, 951) = 566796
GCD(596, 951) = ( 596 x 951 ) / 566796
GCD(596, 951) = 566796 / 566796
GCD(596, 951) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
GCD of 596, 951, 58, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 596, 951, 58, 159?
GCD of 596, 951, 58, 159 is 1
2. Where do I get the detailed procedure to find GCD of 596, 951, 58, 159?
You can find a detailed procedure to find GCD of 596, 951, 58, 159 on our page.
3. How to find GCD of 596, 951, 58, 159 on a calculator?
You can find the GCD of 596, 951, 58, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.