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, 266, 67 i.e. 1 largest integer that divides all the numbers equally.
GCD of 767, 266, 67 is 1
GCD(767, 266, 67) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 767, 266, 67 is 1
GCD(767, 266, 67) = 1
Given Input numbers are 767, 266, 67
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 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Greatest Common Divisior
We found the divisors of 767, 266, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 266, 67 is 1.
Therefore, GCD of numbers 767, 266, 67 is 1
Given Input Data is 767, 266, 67
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 767 is 13 x 59
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 67 is 67
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, 266) = 204022
GCD(767, 266) = ( 767 x 266 ) / 204022
GCD(767, 266) = 204022 / 204022
GCD(767, 266) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
GCD of 767, 266, 67 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 767, 266, 67?
GCD of 767, 266, 67 is 1
2. Where do I get the detailed procedure to find GCD of 767, 266, 67?
You can find a detailed procedure to find GCD of 767, 266, 67 on our page.
3. How to find GCD of 767, 266, 67 on a calculator?
You can find the GCD of 767, 266, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.