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 71, 958, 888, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 958, 888, 323 is 1
GCD(71, 958, 888, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 958, 888, 323 is 1
GCD(71, 958, 888, 323) = 1
Given Input numbers are 71, 958, 888, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 71, 958, 888, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 958, 888, 323 is 1.
Therefore, GCD of numbers 71, 958, 888, 323 is 1
Given Input Data is 71, 958, 888, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 958 is 2 x 479
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 323 is 17 x 19
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(71, 958) = 68018
GCD(71, 958) = ( 71 x 958 ) / 68018
GCD(71, 958) = 68018 / 68018
GCD(71, 958) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 888) = 888
GCD(1, 888) = ( 1 x 888 ) / 888
GCD(1, 888) = 888 / 888
GCD(1, 888) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 71, 958, 888, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 958, 888, 323?
GCD of 71, 958, 888, 323 is 1
2. Where do I get the detailed procedure to find GCD of 71, 958, 888, 323?
You can find a detailed procedure to find GCD of 71, 958, 888, 323 on our page.
3. How to find GCD of 71, 958, 888, 323 on a calculator?
You can find the GCD of 71, 958, 888, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.