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 58, 129, 956, 701 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 129, 956, 701 is 1
GCD(58, 129, 956, 701) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 129, 956, 701 is 1
GCD(58, 129, 956, 701) = 1
Given Input numbers are 58, 129, 956, 701
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Greatest Common Divisior
We found the divisors of 58, 129, 956, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 129, 956, 701 is 1.
Therefore, GCD of numbers 58, 129, 956, 701 is 1
Given Input Data is 58, 129, 956, 701
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 129 is 3 x 43
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 701 is 701
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(58, 129) = 7482
GCD(58, 129) = ( 58 x 129 ) / 7482
GCD(58, 129) = 7482 / 7482
GCD(58, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
GCD of 58, 129, 956, 701 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 129, 956, 701?
GCD of 58, 129, 956, 701 is 1
2. Where do I get the detailed procedure to find GCD of 58, 129, 956, 701?
You can find a detailed procedure to find GCD of 58, 129, 956, 701 on our page.
3. How to find GCD of 58, 129, 956, 701 on a calculator?
You can find the GCD of 58, 129, 956, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.