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, 135, 17 i.e. 1 largest integer that divides all the numbers equally.
GCD of 766, 135, 17 is 1
GCD(766, 135, 17) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 766, 135, 17 is 1
GCD(766, 135, 17) = 1
Given Input numbers are 766, 135, 17
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 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Greatest Common Divisior
We found the divisors of 766, 135, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 135, 17 is 1.
Therefore, GCD of numbers 766, 135, 17 is 1
Given Input Data is 766, 135, 17
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 766 is 2 x 383
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 17 is 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(766, 135) = 103410
GCD(766, 135) = ( 766 x 135 ) / 103410
GCD(766, 135) = 103410 / 103410
GCD(766, 135) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
GCD of 766, 135, 17 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 766, 135, 17?
GCD of 766, 135, 17 is 1
2. Where do I get the detailed procedure to find GCD of 766, 135, 17?
You can find a detailed procedure to find GCD of 766, 135, 17 on our page.
3. How to find GCD of 766, 135, 17 on a calculator?
You can find the GCD of 766, 135, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.