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 47, 23, 60 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 23, 60 is 1
GCD(47, 23, 60) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 23, 60 is 1
GCD(47, 23, 60) = 1
Given Input numbers are 47, 23, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Greatest Common Divisior
We found the divisors of 47, 23, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 23, 60 is 1.
Therefore, GCD of numbers 47, 23, 60 is 1
Given Input Data is 47, 23, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 23 is 23
Prime Factorization of 60 is 2 x 2 x 3 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(47, 23) = 1081
GCD(47, 23) = ( 47 x 23 ) / 1081
GCD(47, 23) = 1081 / 1081
GCD(47, 23) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
GCD of 47, 23, 60 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 23, 60?
GCD of 47, 23, 60 is 1
2. Where do I get the detailed procedure to find GCD of 47, 23, 60?
You can find a detailed procedure to find GCD of 47, 23, 60 on our page.
3. How to find GCD of 47, 23, 60 on a calculator?
You can find the GCD of 47, 23, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.