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 226, 690, 81, 306 i.e. 1 largest integer that divides all the numbers equally.
GCD of 226, 690, 81, 306 is 1
GCD(226, 690, 81, 306) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 226, 690, 81, 306 is 1
GCD(226, 690, 81, 306) = 1
Given Input numbers are 226, 690, 81, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 226, 690, 81, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 690, 81, 306 is 1.
Therefore, GCD of numbers 226, 690, 81, 306 is 1
Given Input Data is 226, 690, 81, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 226 is 2 x 113
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 306 is 2 x 3 x 3 x 17
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(226, 690) = 77970
GCD(226, 690) = ( 226 x 690 ) / 77970
GCD(226, 690) = 155940 / 77970
GCD(226, 690) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
GCD of 226, 690, 81, 306 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 226, 690, 81, 306?
GCD of 226, 690, 81, 306 is 1
2. Where do I get the detailed procedure to find GCD of 226, 690, 81, 306?
You can find a detailed procedure to find GCD of 226, 690, 81, 306 on our page.
3. How to find GCD of 226, 690, 81, 306 on a calculator?
You can find the GCD of 226, 690, 81, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.