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 370, 219, 47, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 219, 47, 729 is 1
GCD(370, 219, 47, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 219, 47, 729 is 1
GCD(370, 219, 47, 729) = 1
Given Input numbers are 370, 219, 47, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 370, 219, 47, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 219, 47, 729 is 1.
Therefore, GCD of numbers 370, 219, 47, 729 is 1
Given Input Data is 370, 219, 47, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 219 is 3 x 73
Prime Factorization of 47 is 47
Prime Factorization of 729 is 3 x 3 x 3 x 3 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(370, 219) = 81030
GCD(370, 219) = ( 370 x 219 ) / 81030
GCD(370, 219) = 81030 / 81030
GCD(370, 219) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 370, 219, 47, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 219, 47, 729?
GCD of 370, 219, 47, 729 is 1
2. Where do I get the detailed procedure to find GCD of 370, 219, 47, 729?
You can find a detailed procedure to find GCD of 370, 219, 47, 729 on our page.
3. How to find GCD of 370, 219, 47, 729 on a calculator?
You can find the GCD of 370, 219, 47, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.