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, 920, 627, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 225, 920, 627, 555 is 1
GCD(225, 920, 627, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 225, 920, 627, 555 is 1
GCD(225, 920, 627, 555) = 1
Given Input numbers are 225, 920, 627, 555
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 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 225, 920, 627, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 920, 627, 555 is 1.
Therefore, GCD of numbers 225, 920, 627, 555 is 1
Given Input Data is 225, 920, 627, 555
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 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 555 is 3 x 5 x 37
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, 920) = 41400
GCD(225, 920) = ( 225 x 920 ) / 41400
GCD(225, 920) = 207000 / 41400
GCD(225, 920) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 627) = 3135
GCD(5, 627) = ( 5 x 627 ) / 3135
GCD(5, 627) = 3135 / 3135
GCD(5, 627) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
GCD of 225, 920, 627, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 225, 920, 627, 555?
GCD of 225, 920, 627, 555 is 1
2. Where do I get the detailed procedure to find GCD of 225, 920, 627, 555?
You can find a detailed procedure to find GCD of 225, 920, 627, 555 on our page.
3. How to find GCD of 225, 920, 627, 555 on a calculator?
You can find the GCD of 225, 920, 627, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.