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 901, 579, 973, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 579, 973, 518 is 1
GCD(901, 579, 973, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 579, 973, 518 is 1
GCD(901, 579, 973, 518) = 1
Given Input numbers are 901, 579, 973, 518
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 901, 579, 973, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 579, 973, 518 is 1.
Therefore, GCD of numbers 901, 579, 973, 518 is 1
Given Input Data is 901, 579, 973, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 579 is 3 x 193
Prime Factorization of 973 is 7 x 139
Prime Factorization of 518 is 2 x 7 x 37
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(901, 579) = 521679
GCD(901, 579) = ( 901 x 579 ) / 521679
GCD(901, 579) = 521679 / 521679
GCD(901, 579) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 901, 579, 973, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 579, 973, 518?
GCD of 901, 579, 973, 518 is 1
2. Where do I get the detailed procedure to find GCD of 901, 579, 973, 518?
You can find a detailed procedure to find GCD of 901, 579, 973, 518 on our page.
3. How to find GCD of 901, 579, 973, 518 on a calculator?
You can find the GCD of 901, 579, 973, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.