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 53, 47, 72 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 47, 72 is 1
GCD(53, 47, 72) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 47, 72 is 1
GCD(53, 47, 72) = 1
Given Input numbers are 53, 47, 72
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Greatest Common Divisior
We found the divisors of 53, 47, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 47, 72 is 1.
Therefore, GCD of numbers 53, 47, 72 is 1
Given Input Data is 53, 47, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 47 is 47
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
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(53, 47) = 2491
GCD(53, 47) = ( 53 x 47 ) / 2491
GCD(53, 47) = 2491 / 2491
GCD(53, 47) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
GCD of 53, 47, 72 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 47, 72?
GCD of 53, 47, 72 is 1
2. Where do I get the detailed procedure to find GCD of 53, 47, 72?
You can find a detailed procedure to find GCD of 53, 47, 72 on our page.
3. How to find GCD of 53, 47, 72 on a calculator?
You can find the GCD of 53, 47, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.