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 462, 779, 687, 205 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 779, 687, 205 is 1
GCD(462, 779, 687, 205) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 779, 687, 205 is 1
GCD(462, 779, 687, 205) = 1
Given Input numbers are 462, 779, 687, 205
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
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 462, 779, 687, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 779, 687, 205 is 1.
Therefore, GCD of numbers 462, 779, 687, 205 is 1
Given Input Data is 462, 779, 687, 205
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 779 is 19 x 41
Prime Factorization of 687 is 3 x 229
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(462, 779) = 359898
GCD(462, 779) = ( 462 x 779 ) / 359898
GCD(462, 779) = 359898 / 359898
GCD(462, 779) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 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 462, 779, 687, 205 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 779, 687, 205?
GCD of 462, 779, 687, 205 is 1
2. Where do I get the detailed procedure to find GCD of 462, 779, 687, 205?
You can find a detailed procedure to find GCD of 462, 779, 687, 205 on our page.
3. How to find GCD of 462, 779, 687, 205 on a calculator?
You can find the GCD of 462, 779, 687, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.