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 67, 27, 75 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 27, 75 is 1
GCD(67, 27, 75) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 27, 75 is 1
GCD(67, 27, 75) = 1
Given Input numbers are 67, 27, 75
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
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 67, 27, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 27, 75 is 1.
Therefore, GCD of numbers 67, 27, 75 is 1
Given Input Data is 67, 27, 75
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 27 is 3 x 3 x 3
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(67, 27) = 1809
GCD(67, 27) = ( 67 x 27 ) / 1809
GCD(67, 27) = 1809 / 1809
GCD(67, 27) = 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 67, 27, 75 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 27, 75?
GCD of 67, 27, 75 is 1
2. Where do I get the detailed procedure to find GCD of 67, 27, 75?
You can find a detailed procedure to find GCD of 67, 27, 75 on our page.
3. How to find GCD of 67, 27, 75 on a calculator?
You can find the GCD of 67, 27, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.