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 721, 360, 47, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 360, 47, 370 is 1
GCD(721, 360, 47, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 360, 47, 370 is 1
GCD(721, 360, 47, 370) = 1
Given Input numbers are 721, 360, 47, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 721, 360, 47, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 360, 47, 370 is 1.
Therefore, GCD of numbers 721, 360, 47, 370 is 1
Given Input Data is 721, 360, 47, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 47 is 47
Prime Factorization of 370 is 2 x 5 x 37
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(721, 360) = 259560
GCD(721, 360) = ( 721 x 360 ) / 259560
GCD(721, 360) = 259560 / 259560
GCD(721, 360) = 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 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 721, 360, 47, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 360, 47, 370?
GCD of 721, 360, 47, 370 is 1
2. Where do I get the detailed procedure to find GCD of 721, 360, 47, 370?
You can find a detailed procedure to find GCD of 721, 360, 47, 370 on our page.
3. How to find GCD of 721, 360, 47, 370 on a calculator?
You can find the GCD of 721, 360, 47, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.