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 19, 48, 18, 47 i.e. 1 largest integer that divides all the numbers equally.
GCD of 19, 48, 18, 47 is 1
GCD(19, 48, 18, 47) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 19, 48, 18, 47 is 1
GCD(19, 48, 18, 47) = 1
Given Input numbers are 19, 48, 18, 47
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Greatest Common Divisior
We found the divisors of 19, 48, 18, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 48, 18, 47 is 1.
Therefore, GCD of numbers 19, 48, 18, 47 is 1
Given Input Data is 19, 48, 18, 47
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 19 is 19
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 47 is 47
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(19, 48) = 912
GCD(19, 48) = ( 19 x 48 ) / 912
GCD(19, 48) = 912 / 912
GCD(19, 48) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
GCD of 19, 48, 18, 47 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 19, 48, 18, 47?
GCD of 19, 48, 18, 47 is 1
2. Where do I get the detailed procedure to find GCD of 19, 48, 18, 47?
You can find a detailed procedure to find GCD of 19, 48, 18, 47 on our page.
3. How to find GCD of 19, 48, 18, 47 on a calculator?
You can find the GCD of 19, 48, 18, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.