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 13, 75, 54, 68 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 75, 54, 68 is 1
GCD(13, 75, 54, 68) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 75, 54, 68 is 1
GCD(13, 75, 54, 68) = 1
Given Input numbers are 13, 75, 54, 68
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Greatest Common Divisior
We found the divisors of 13, 75, 54, 68 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 75, 54, 68 is 1.
Therefore, GCD of numbers 13, 75, 54, 68 is 1
Given Input Data is 13, 75, 54, 68
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 68 is 2 x 2 x 17
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(13, 75) = 975
GCD(13, 75) = ( 13 x 75 ) / 975
GCD(13, 75) = 975 / 975
GCD(13, 75) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
GCD of 13, 75, 54, 68 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 75, 54, 68?
GCD of 13, 75, 54, 68 is 1
2. Where do I get the detailed procedure to find GCD of 13, 75, 54, 68?
You can find a detailed procedure to find GCD of 13, 75, 54, 68 on our page.
3. How to find GCD of 13, 75, 54, 68 on a calculator?
You can find the GCD of 13, 75, 54, 68 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.