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 93, 9, 68, 20 i.e. 1 largest integer that divides all the numbers equally.
GCD of 93, 9, 68, 20 is 1
GCD(93, 9, 68, 20) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 93, 9, 68, 20 is 1
GCD(93, 9, 68, 20) = 1
Given Input numbers are 93, 9, 68, 20
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 9
List of positive integer divisors of 9 that divides 9 without a remainder.
1, 3, 9
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Greatest Common Divisior
We found the divisors of 93, 9, 68, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 9, 68, 20 is 1.
Therefore, GCD of numbers 93, 9, 68, 20 is 1
Given Input Data is 93, 9, 68, 20
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 93 is 3 x 31
Prime Factorization of 9 is 3 x 3
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 20 is 2 x 2 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(93, 9) = 279
GCD(93, 9) = ( 93 x 9 ) / 279
GCD(93, 9) = 837 / 279
GCD(93, 9) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 68) = 204
GCD(3, 68) = ( 3 x 68 ) / 204
GCD(3, 68) = 204 / 204
GCD(3, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
GCD of 93, 9, 68, 20 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 93, 9, 68, 20?
GCD of 93, 9, 68, 20 is 1
2. Where do I get the detailed procedure to find GCD of 93, 9, 68, 20?
You can find a detailed procedure to find GCD of 93, 9, 68, 20 on our page.
3. How to find GCD of 93, 9, 68, 20 on a calculator?
You can find the GCD of 93, 9, 68, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.