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 486, 229, 67 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 229, 67 is 1
GCD(486, 229, 67) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 229, 67 is 1
GCD(486, 229, 67) = 1
Given Input numbers are 486, 229, 67
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Greatest Common Divisior
We found the divisors of 486, 229, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 229, 67 is 1.
Therefore, GCD of numbers 486, 229, 67 is 1
Given Input Data is 486, 229, 67
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 229 is 229
Prime Factorization of 67 is 67
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(486, 229) = 111294
GCD(486, 229) = ( 486 x 229 ) / 111294
GCD(486, 229) = 111294 / 111294
GCD(486, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
GCD of 486, 229, 67 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 229, 67?
GCD of 486, 229, 67 is 1
2. Where do I get the detailed procedure to find GCD of 486, 229, 67?
You can find a detailed procedure to find GCD of 486, 229, 67 on our page.
3. How to find GCD of 486, 229, 67 on a calculator?
You can find the GCD of 486, 229, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.