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 165, 748, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 748, 764 is 1
GCD(165, 748, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 748, 764 is 1
GCD(165, 748, 764) = 1
Given Input numbers are 165, 748, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 165, 748, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 748, 764 is 1.
Therefore, GCD of numbers 165, 748, 764 is 1
Given Input Data is 165, 748, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 764 is 2 x 2 x 191
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(165, 748) = 11220
GCD(165, 748) = ( 165 x 748 ) / 11220
GCD(165, 748) = 123420 / 11220
GCD(165, 748) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 764) = 8404
GCD(11, 764) = ( 11 x 764 ) / 8404
GCD(11, 764) = 8404 / 8404
GCD(11, 764) = 1
GCD of 165, 748, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 165, 748, 764?
GCD of 165, 748, 764 is 1
2. Where do I get the detailed procedure to find GCD of 165, 748, 764?
You can find a detailed procedure to find GCD of 165, 748, 764 on our page.
3. How to find GCD of 165, 748, 764 on a calculator?
You can find the GCD of 165, 748, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.