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 531, 812, 385, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 812, 385, 272 is 1
GCD(531, 812, 385, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 812, 385, 272 is 1
GCD(531, 812, 385, 272) = 1
Given Input numbers are 531, 812, 385, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 531, 812, 385, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 812, 385, 272 is 1.
Therefore, GCD of numbers 531, 812, 385, 272 is 1
Given Input Data is 531, 812, 385, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(531, 812) = 431172
GCD(531, 812) = ( 531 x 812 ) / 431172
GCD(531, 812) = 431172 / 431172
GCD(531, 812) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 531, 812, 385, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 812, 385, 272?
GCD of 531, 812, 385, 272 is 1
2. Where do I get the detailed procedure to find GCD of 531, 812, 385, 272?
You can find a detailed procedure to find GCD of 531, 812, 385, 272 on our page.
3. How to find GCD of 531, 812, 385, 272 on a calculator?
You can find the GCD of 531, 812, 385, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.