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 73, 902, 531, 723 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 902, 531, 723 is 1
GCD(73, 902, 531, 723) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 902, 531, 723 is 1
GCD(73, 902, 531, 723) = 1
Given Input numbers are 73, 902, 531, 723
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Greatest Common Divisior
We found the divisors of 73, 902, 531, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 902, 531, 723 is 1.
Therefore, GCD of numbers 73, 902, 531, 723 is 1
Given Input Data is 73, 902, 531, 723
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 723 is 3 x 241
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(73, 902) = 65846
GCD(73, 902) = ( 73 x 902 ) / 65846
GCD(73, 902) = 65846 / 65846
GCD(73, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 531) = 531
GCD(1, 531) = ( 1 x 531 ) / 531
GCD(1, 531) = 531 / 531
GCD(1, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
GCD(1, 723) = 723 / 723
GCD(1, 723) = 1
GCD of 73, 902, 531, 723 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 902, 531, 723?
GCD of 73, 902, 531, 723 is 1
2. Where do I get the detailed procedure to find GCD of 73, 902, 531, 723?
You can find a detailed procedure to find GCD of 73, 902, 531, 723 on our page.
3. How to find GCD of 73, 902, 531, 723 on a calculator?
You can find the GCD of 73, 902, 531, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.