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 598, 903, 538, 660 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 903, 538, 660 is 1
GCD(598, 903, 538, 660) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 903, 538, 660 is 1
GCD(598, 903, 538, 660) = 1
Given Input numbers are 598, 903, 538, 660
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
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 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 598, 903, 538, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 903, 538, 660 is 1.
Therefore, GCD of numbers 598, 903, 538, 660 is 1
Given Input Data is 598, 903, 538, 660
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 538 is 2 x 269
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
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(598, 903) = 539994
GCD(598, 903) = ( 598 x 903 ) / 539994
GCD(598, 903) = 539994 / 539994
GCD(598, 903) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
GCD(1, 660) = 660 / 660
GCD(1, 660) = 1
GCD of 598, 903, 538, 660 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 903, 538, 660?
GCD of 598, 903, 538, 660 is 1
2. Where do I get the detailed procedure to find GCD of 598, 903, 538, 660?
You can find a detailed procedure to find GCD of 598, 903, 538, 660 on our page.
3. How to find GCD of 598, 903, 538, 660 on a calculator?
You can find the GCD of 598, 903, 538, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.