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, 397, 31, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 397, 31, 383 is 1
GCD(720, 397, 31, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 397, 31, 383 is 1
GCD(720, 397, 31, 383) = 1
Given Input numbers are 720, 397, 31, 383
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 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 720, 397, 31, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 397, 31, 383 is 1.
Therefore, GCD of numbers 720, 397, 31, 383 is 1
Given Input Data is 720, 397, 31, 383
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 397 is 397
Prime Factorization of 31 is 31
Prime Factorization of 383 is 383
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, 397) = 285840
GCD(720, 397) = ( 720 x 397 ) / 285840
GCD(720, 397) = 285840 / 285840
GCD(720, 397) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 720, 397, 31, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 397, 31, 383?
GCD of 720, 397, 31, 383 is 1
2. Where do I get the detailed procedure to find GCD of 720, 397, 31, 383?
You can find a detailed procedure to find GCD of 720, 397, 31, 383 on our page.
3. How to find GCD of 720, 397, 31, 383 on a calculator?
You can find the GCD of 720, 397, 31, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.