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 225, 576, 93, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 576, 93, 212 is 1
GCD(225, 576, 93, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 576, 93, 212 is 1
GCD(225, 576, 93, 212) = 1
Given Input numbers are 225, 576, 93, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 225, 576, 93, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 576, 93, 212 is 1.
Therefore, GCD of numbers 225, 576, 93, 212 is 1
Given Input Data is 225, 576, 93, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 93 is 3 x 31
Prime Factorization of 212 is 2 x 2 x 53
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(225, 576) = 14400
GCD(225, 576) = ( 225 x 576 ) / 14400
GCD(225, 576) = 129600 / 14400
GCD(225, 576) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 93) = 279
GCD(9, 93) = ( 9 x 93 ) / 279
GCD(9, 93) = 837 / 279
GCD(9, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 212) = 636
GCD(3, 212) = ( 3 x 212 ) / 636
GCD(3, 212) = 636 / 636
GCD(3, 212) = 1
GCD of 225, 576, 93, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 576, 93, 212?
GCD of 225, 576, 93, 212 is 1
2. Where do I get the detailed procedure to find GCD of 225, 576, 93, 212?
You can find a detailed procedure to find GCD of 225, 576, 93, 212 on our page.
3. How to find GCD of 225, 576, 93, 212 on a calculator?
You can find the GCD of 225, 576, 93, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.