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 332, 923, 814 i.e. 1 largest integer that divides all the numbers equally.
GCD of 332, 923, 814 is 1
GCD(332, 923, 814) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 332, 923, 814 is 1
GCD(332, 923, 814) = 1
Given Input numbers are 332, 923, 814
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Greatest Common Divisior
We found the divisors of 332, 923, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 923, 814 is 1.
Therefore, GCD of numbers 332, 923, 814 is 1
Given Input Data is 332, 923, 814
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 923 is 13 x 71
Prime Factorization of 814 is 2 x 11 x 37
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(332, 923) = 306436
GCD(332, 923) = ( 332 x 923 ) / 306436
GCD(332, 923) = 306436 / 306436
GCD(332, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 814
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
GCD(1, 814) = 814 / 814
GCD(1, 814) = 1
GCD of 332, 923, 814 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 332, 923, 814?
GCD of 332, 923, 814 is 1
2. Where do I get the detailed procedure to find GCD of 332, 923, 814?
You can find a detailed procedure to find GCD of 332, 923, 814 on our page.
3. How to find GCD of 332, 923, 814 on a calculator?
You can find the GCD of 332, 923, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.