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 617, 713, 89, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 617, 713, 89, 959 is 1
GCD(617, 713, 89, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 617, 713, 89, 959 is 1
GCD(617, 713, 89, 959) = 1
Given Input numbers are 617, 713, 89, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 617, 713, 89, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 713, 89, 959 is 1.
Therefore, GCD of numbers 617, 713, 89, 959 is 1
Given Input Data is 617, 713, 89, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 617 is 617
Prime Factorization of 713 is 23 x 31
Prime Factorization of 89 is 89
Prime Factorization of 959 is 7 x 137
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(617, 713) = 439921
GCD(617, 713) = ( 617 x 713 ) / 439921
GCD(617, 713) = 439921 / 439921
GCD(617, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 617, 713, 89, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 617, 713, 89, 959?
GCD of 617, 713, 89, 959 is 1
2. Where do I get the detailed procedure to find GCD of 617, 713, 89, 959?
You can find a detailed procedure to find GCD of 617, 713, 89, 959 on our page.
3. How to find GCD of 617, 713, 89, 959 on a calculator?
You can find the GCD of 617, 713, 89, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.