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, 618, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 618, 629 is 1
GCD(768, 618, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 618, 629 is 1
GCD(768, 618, 629) = 1
Given Input numbers are 768, 618, 629
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 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 768, 618, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 618, 629 is 1.
Therefore, GCD of numbers 768, 618, 629 is 1
Given Input Data is 768, 618, 629
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 618 is 2 x 3 x 103
Prime Factorization of 629 is 17 x 37
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, 618) = 79104
GCD(768, 618) = ( 768 x 618 ) / 79104
GCD(768, 618) = 474624 / 79104
GCD(768, 618) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 629) = 3774
GCD(6, 629) = ( 6 x 629 ) / 3774
GCD(6, 629) = 3774 / 3774
GCD(6, 629) = 1
GCD of 768, 618, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 618, 629?
GCD of 768, 618, 629 is 1
2. Where do I get the detailed procedure to find GCD of 768, 618, 629?
You can find a detailed procedure to find GCD of 768, 618, 629 on our page.
3. How to find GCD of 768, 618, 629 on a calculator?
You can find the GCD of 768, 618, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.