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 906, 731, 720, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 906, 731, 720, 227 is 1
GCD(906, 731, 720, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 906, 731, 720, 227 is 1
GCD(906, 731, 720, 227) = 1
Given Input numbers are 906, 731, 720, 227
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Greatest Common Divisior
We found the divisors of 906, 731, 720, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 731, 720, 227 is 1.
Therefore, GCD of numbers 906, 731, 720, 227 is 1
Given Input Data is 906, 731, 720, 227
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 731 is 17 x 43
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 227 is 227
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(906, 731) = 662286
GCD(906, 731) = ( 906 x 731 ) / 662286
GCD(906, 731) = 662286 / 662286
GCD(906, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
GCD of 906, 731, 720, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 906, 731, 720, 227?
GCD of 906, 731, 720, 227 is 1
2. Where do I get the detailed procedure to find GCD of 906, 731, 720, 227?
You can find a detailed procedure to find GCD of 906, 731, 720, 227 on our page.
3. How to find GCD of 906, 731, 720, 227 on a calculator?
You can find the GCD of 906, 731, 720, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.