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 959, 903, 404, 566 i.e. 1 largest integer that divides all the numbers equally.
GCD of 959, 903, 404, 566 is 1
GCD(959, 903, 404, 566) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 903, 404, 566 is 1
GCD(959, 903, 404, 566) = 1
Given Input numbers are 959, 903, 404, 566
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Greatest Common Divisior
We found the divisors of 959, 903, 404, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 903, 404, 566 is 1.
Therefore, GCD of numbers 959, 903, 404, 566 is 1
Given Input Data is 959, 903, 404, 566
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 566 is 2 x 283
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(959, 903) = 123711
GCD(959, 903) = ( 959 x 903 ) / 123711
GCD(959, 903) = 865977 / 123711
GCD(959, 903) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 404) = 2828
GCD(7, 404) = ( 7 x 404 ) / 2828
GCD(7, 404) = 2828 / 2828
GCD(7, 404) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
GCD of 959, 903, 404, 566 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 959, 903, 404, 566?
GCD of 959, 903, 404, 566 is 1
2. Where do I get the detailed procedure to find GCD of 959, 903, 404, 566?
You can find a detailed procedure to find GCD of 959, 903, 404, 566 on our page.
3. How to find GCD of 959, 903, 404, 566 on a calculator?
You can find the GCD of 959, 903, 404, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.