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 93, 852, 531, 441 i.e. 3 largest integer that divides all the numbers equally.
GCD of 93, 852, 531, 441 is 3
GCD(93, 852, 531, 441) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 93, 852, 531, 441 is 3
GCD(93, 852, 531, 441) = 3
Given Input numbers are 93, 852, 531, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 93, 852, 531, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 852, 531, 441 is 3.
Therefore, GCD of numbers 93, 852, 531, 441 is 3
Given Input Data is 93, 852, 531, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 93 is 3 x 31
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 441 is 3 x 3 x 7 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(93, 852) = 26412
GCD(93, 852) = ( 93 x 852 ) / 26412
GCD(93, 852) = 79236 / 26412
GCD(93, 852) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 531) = 531
GCD(3, 531) = ( 3 x 531 ) / 531
GCD(3, 531) = 1593 / 531
GCD(3, 531) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 441) = 441
GCD(3, 441) = ( 3 x 441 ) / 441
GCD(3, 441) = 1323 / 441
GCD(3, 441) = 3
GCD of 93, 852, 531, 441 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 93, 852, 531, 441?
GCD of 93, 852, 531, 441 is 3
2. Where do I get the detailed procedure to find GCD of 93, 852, 531, 441?
You can find a detailed procedure to find GCD of 93, 852, 531, 441 on our page.
3. How to find GCD of 93, 852, 531, 441 on a calculator?
You can find the GCD of 93, 852, 531, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.