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 538, 923, 75 i.e. 1 largest integer that divides all the numbers equally.
GCD of 538, 923, 75 is 1
GCD(538, 923, 75) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 923, 75 is 1
GCD(538, 923, 75) = 1
Given Input numbers are 538, 923, 75
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Greatest Common Divisior
We found the divisors of 538, 923, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 923, 75 is 1.
Therefore, GCD of numbers 538, 923, 75 is 1
Given Input Data is 538, 923, 75
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 923 is 13 x 71
Prime Factorization of 75 is 3 x 5 x 5
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(538, 923) = 496574
GCD(538, 923) = ( 538 x 923 ) / 496574
GCD(538, 923) = 496574 / 496574
GCD(538, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
GCD of 538, 923, 75 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 923, 75?
GCD of 538, 923, 75 is 1
2. Where do I get the detailed procedure to find GCD of 538, 923, 75?
You can find a detailed procedure to find GCD of 538, 923, 75 on our page.
3. How to find GCD of 538, 923, 75 on a calculator?
You can find the GCD of 538, 923, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.