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 481, 225, 72, 207 i.e. 1 largest integer that divides all the numbers equally.
GCD of 481, 225, 72, 207 is 1
GCD(481, 225, 72, 207) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 481, 225, 72, 207 is 1
GCD(481, 225, 72, 207) = 1
Given Input numbers are 481, 225, 72, 207
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
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 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Greatest Common Divisior
We found the divisors of 481, 225, 72, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 481, 225, 72, 207 is 1.
Therefore, GCD of numbers 481, 225, 72, 207 is 1
Given Input Data is 481, 225, 72, 207
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 481 is 13 x 37
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 207 is 3 x 3 x 23
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(481, 225) = 108225
GCD(481, 225) = ( 481 x 225 ) / 108225
GCD(481, 225) = 108225 / 108225
GCD(481, 225) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
GCD(1, 207) = 207 / 207
GCD(1, 207) = 1
GCD of 481, 225, 72, 207 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 481, 225, 72, 207?
GCD of 481, 225, 72, 207 is 1
2. Where do I get the detailed procedure to find GCD of 481, 225, 72, 207?
You can find a detailed procedure to find GCD of 481, 225, 72, 207 on our page.
3. How to find GCD of 481, 225, 72, 207 on a calculator?
You can find the GCD of 481, 225, 72, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.