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 764, 235, 76 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 235, 76 is 1
GCD(764, 235, 76) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 235, 76 is 1
GCD(764, 235, 76) = 1
Given Input numbers are 764, 235, 76
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Greatest Common Divisior
We found the divisors of 764, 235, 76 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 235, 76 is 1.
Therefore, GCD of numbers 764, 235, 76 is 1
Given Input Data is 764, 235, 76
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 235 is 5 x 47
Prime Factorization of 76 is 2 x 2 x 19
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(764, 235) = 179540
GCD(764, 235) = ( 764 x 235 ) / 179540
GCD(764, 235) = 179540 / 179540
GCD(764, 235) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
GCD of 764, 235, 76 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 235, 76?
GCD of 764, 235, 76 is 1
2. Where do I get the detailed procedure to find GCD of 764, 235, 76?
You can find a detailed procedure to find GCD of 764, 235, 76 on our page.
3. How to find GCD of 764, 235, 76 on a calculator?
You can find the GCD of 764, 235, 76 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.