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 382, 307, 462, 668 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 307, 462, 668 is 1
GCD(382, 307, 462, 668) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 307, 462, 668 is 1
GCD(382, 307, 462, 668) = 1
Given Input numbers are 382, 307, 462, 668
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
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 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 382, 307, 462, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 307, 462, 668 is 1.
Therefore, GCD of numbers 382, 307, 462, 668 is 1
Given Input Data is 382, 307, 462, 668
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 307 is 307
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 668 is 2 x 2 x 167
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(382, 307) = 117274
GCD(382, 307) = ( 382 x 307 ) / 117274
GCD(382, 307) = 117274 / 117274
GCD(382, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 668) = 668
GCD(1, 668) = ( 1 x 668 ) / 668
GCD(1, 668) = 668 / 668
GCD(1, 668) = 1
GCD of 382, 307, 462, 668 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 307, 462, 668?
GCD of 382, 307, 462, 668 is 1
2. Where do I get the detailed procedure to find GCD of 382, 307, 462, 668?
You can find a detailed procedure to find GCD of 382, 307, 462, 668 on our page.
3. How to find GCD of 382, 307, 462, 668 on a calculator?
You can find the GCD of 382, 307, 462, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.