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 921, 225, 218, 810 i.e. 1 largest integer that divides all the numbers equally.
GCD of 921, 225, 218, 810 is 1
GCD(921, 225, 218, 810) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 921, 225, 218, 810 is 1
GCD(921, 225, 218, 810) = 1
Given Input numbers are 921, 225, 218, 810
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
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 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Greatest Common Divisior
We found the divisors of 921, 225, 218, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 225, 218, 810 is 1.
Therefore, GCD of numbers 921, 225, 218, 810 is 1
Given Input Data is 921, 225, 218, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 921 is 3 x 307
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 218 is 2 x 109
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(921, 225) = 69075
GCD(921, 225) = ( 921 x 225 ) / 69075
GCD(921, 225) = 207225 / 69075
GCD(921, 225) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 218) = 654
GCD(3, 218) = ( 3 x 218 ) / 654
GCD(3, 218) = 654 / 654
GCD(3, 218) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
GCD of 921, 225, 218, 810 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 921, 225, 218, 810?
GCD of 921, 225, 218, 810 is 1
2. Where do I get the detailed procedure to find GCD of 921, 225, 218, 810?
You can find a detailed procedure to find GCD of 921, 225, 218, 810 on our page.
3. How to find GCD of 921, 225, 218, 810 on a calculator?
You can find the GCD of 921, 225, 218, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.