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 927, 564, 65, 226 i.e. 1 largest integer that divides all the numbers equally.
GCD of 927, 564, 65, 226 is 1
GCD(927, 564, 65, 226) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 927, 564, 65, 226 is 1
GCD(927, 564, 65, 226) = 1
Given Input numbers are 927, 564, 65, 226
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Greatest Common Divisior
We found the divisors of 927, 564, 65, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 564, 65, 226 is 1.
Therefore, GCD of numbers 927, 564, 65, 226 is 1
Given Input Data is 927, 564, 65, 226
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 65 is 5 x 13
Prime Factorization of 226 is 2 x 113
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(927, 564) = 174276
GCD(927, 564) = ( 927 x 564 ) / 174276
GCD(927, 564) = 522828 / 174276
GCD(927, 564) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 65) = 195
GCD(3, 65) = ( 3 x 65 ) / 195
GCD(3, 65) = 195 / 195
GCD(3, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 1
GCD of 927, 564, 65, 226 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 927, 564, 65, 226?
GCD of 927, 564, 65, 226 is 1
2. Where do I get the detailed procedure to find GCD of 927, 564, 65, 226?
You can find a detailed procedure to find GCD of 927, 564, 65, 226 on our page.
3. How to find GCD of 927, 564, 65, 226 on a calculator?
You can find the GCD of 927, 564, 65, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.