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 720, 371, 14, 444 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 371, 14, 444 is 1
GCD(720, 371, 14, 444) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 371, 14, 444 is 1
GCD(720, 371, 14, 444) = 1
Given Input numbers are 720, 371, 14, 444
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Greatest Common Divisior
We found the divisors of 720, 371, 14, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 371, 14, 444 is 1.
Therefore, GCD of numbers 720, 371, 14, 444 is 1
Given Input Data is 720, 371, 14, 444
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 371 is 7 x 53
Prime Factorization of 14 is 2 x 7
Prime Factorization of 444 is 2 x 2 x 3 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(720, 371) = 267120
GCD(720, 371) = ( 720 x 371 ) / 267120
GCD(720, 371) = 267120 / 267120
GCD(720, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 444) = 444
GCD(1, 444) = ( 1 x 444 ) / 444
GCD(1, 444) = 444 / 444
GCD(1, 444) = 1
GCD of 720, 371, 14, 444 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 371, 14, 444?
GCD of 720, 371, 14, 444 is 1
2. Where do I get the detailed procedure to find GCD of 720, 371, 14, 444?
You can find a detailed procedure to find GCD of 720, 371, 14, 444 on our page.
3. How to find GCD of 720, 371, 14, 444 on a calculator?
You can find the GCD of 720, 371, 14, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.