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 308, 198, 387, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 198, 387, 640 is 1
GCD(308, 198, 387, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 198, 387, 640 is 1
GCD(308, 198, 387, 640) = 1
Given Input numbers are 308, 198, 387, 640
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 308, 198, 387, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 198, 387, 640 is 1.
Therefore, GCD of numbers 308, 198, 387, 640 is 1
Given Input Data is 308, 198, 387, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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(308, 198) = 2772
GCD(308, 198) = ( 308 x 198 ) / 2772
GCD(308, 198) = 60984 / 2772
GCD(308, 198) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 387) = 8514
GCD(22, 387) = ( 22 x 387 ) / 8514
GCD(22, 387) = 8514 / 8514
GCD(22, 387) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 308, 198, 387, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 198, 387, 640?
GCD of 308, 198, 387, 640 is 1
2. Where do I get the detailed procedure to find GCD of 308, 198, 387, 640?
You can find a detailed procedure to find GCD of 308, 198, 387, 640 on our page.
3. How to find GCD of 308, 198, 387, 640 on a calculator?
You can find the GCD of 308, 198, 387, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.