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 768, 331, 384, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 331, 384, 652 is 1
GCD(768, 331, 384, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 331, 384, 652 is 1
GCD(768, 331, 384, 652) = 1
Given Input numbers are 768, 331, 384, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 768, 331, 384, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 331, 384, 652 is 1.
Therefore, GCD of numbers 768, 331, 384, 652 is 1
Given Input Data is 768, 331, 384, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 331 is 331
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 652 is 2 x 2 x 163
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(768, 331) = 254208
GCD(768, 331) = ( 768 x 331 ) / 254208
GCD(768, 331) = 254208 / 254208
GCD(768, 331) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 768, 331, 384, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 331, 384, 652?
GCD of 768, 331, 384, 652 is 1
2. Where do I get the detailed procedure to find GCD of 768, 331, 384, 652?
You can find a detailed procedure to find GCD of 768, 331, 384, 652 on our page.
3. How to find GCD of 768, 331, 384, 652 on a calculator?
You can find the GCD of 768, 331, 384, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.