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 767, 102, 612, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 102, 612, 918 is 1
GCD(767, 102, 612, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 102, 612, 918 is 1
GCD(767, 102, 612, 918) = 1
Given Input numbers are 767, 102, 612, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 767, 102, 612, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 102, 612, 918 is 1.
Therefore, GCD of numbers 767, 102, 612, 918 is 1
Given Input Data is 767, 102, 612, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(767, 102) = 78234
GCD(767, 102) = ( 767 x 102 ) / 78234
GCD(767, 102) = 78234 / 78234
GCD(767, 102) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 767, 102, 612, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 102, 612, 918?
GCD of 767, 102, 612, 918 is 1
2. Where do I get the detailed procedure to find GCD of 767, 102, 612, 918?
You can find a detailed procedure to find GCD of 767, 102, 612, 918 on our page.
3. How to find GCD of 767, 102, 612, 918 on a calculator?
You can find the GCD of 767, 102, 612, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.