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, 671, 38, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 671, 38, 205 is 1
GCD(486, 671, 38, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 671, 38, 205 is 1
GCD(486, 671, 38, 205) = 1
Given Input numbers are 486, 671, 38, 205
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 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Greatest Common Divisior
We found the divisors of 486, 671, 38, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 671, 38, 205 is 1.
Therefore, GCD of numbers 486, 671, 38, 205 is 1
Given Input Data is 486, 671, 38, 205
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 671 is 11 x 61
Prime Factorization of 38 is 2 x 19
Prime Factorization of 205 is 5 x 41
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, 671) = 326106
GCD(486, 671) = ( 486 x 671 ) / 326106
GCD(486, 671) = 326106 / 326106
GCD(486, 671) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 205) = 205
GCD(1, 205) = ( 1 x 205 ) / 205
GCD(1, 205) = 205 / 205
GCD(1, 205) = 1
GCD of 486, 671, 38, 205 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 671, 38, 205?
GCD of 486, 671, 38, 205 is 1
2. Where do I get the detailed procedure to find GCD of 486, 671, 38, 205?
You can find a detailed procedure to find GCD of 486, 671, 38, 205 on our page.
3. How to find GCD of 486, 671, 38, 205 on a calculator?
You can find the GCD of 486, 671, 38, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.