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 766, 412, 68, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 766, 412, 68, 775 is 1
GCD(766, 412, 68, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 412, 68, 775 is 1
GCD(766, 412, 68, 775) = 1
Given Input numbers are 766, 412, 68, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 766, 412, 68, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 412, 68, 775 is 1.
Therefore, GCD of numbers 766, 412, 68, 775 is 1
Given Input Data is 766, 412, 68, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 775 is 5 x 5 x 31
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(766, 412) = 157796
GCD(766, 412) = ( 766 x 412 ) / 157796
GCD(766, 412) = 315592 / 157796
GCD(766, 412) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 68) = 68
GCD(2, 68) = ( 2 x 68 ) / 68
GCD(2, 68) = 136 / 68
GCD(2, 68) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 775) = 1550
GCD(2, 775) = ( 2 x 775 ) / 1550
GCD(2, 775) = 1550 / 1550
GCD(2, 775) = 1
GCD of 766, 412, 68, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 412, 68, 775?
GCD of 766, 412, 68, 775 is 1
2. Where do I get the detailed procedure to find GCD of 766, 412, 68, 775?
You can find a detailed procedure to find GCD of 766, 412, 68, 775 on our page.
3. How to find GCD of 766, 412, 68, 775 on a calculator?
You can find the GCD of 766, 412, 68, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.