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 102, 531, 73, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 531, 73, 472 is 1
GCD(102, 531, 73, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 531, 73, 472 is 1
GCD(102, 531, 73, 472) = 1
Given Input numbers are 102, 531, 73, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 102, 531, 73, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 531, 73, 472 is 1.
Therefore, GCD of numbers 102, 531, 73, 472 is 1
Given Input Data is 102, 531, 73, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 73 is 73
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(102, 531) = 18054
GCD(102, 531) = ( 102 x 531 ) / 18054
GCD(102, 531) = 54162 / 18054
GCD(102, 531) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 73) = 219
GCD(3, 73) = ( 3 x 73 ) / 219
GCD(3, 73) = 219 / 219
GCD(3, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 102, 531, 73, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 531, 73, 472?
GCD of 102, 531, 73, 472 is 1
2. Where do I get the detailed procedure to find GCD of 102, 531, 73, 472?
You can find a detailed procedure to find GCD of 102, 531, 73, 472 on our page.
3. How to find GCD of 102, 531, 73, 472 on a calculator?
You can find the GCD of 102, 531, 73, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.