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 31, 840, 479, 728 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 840, 479, 728 is 1
GCD(31, 840, 479, 728) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 840, 479, 728 is 1
GCD(31, 840, 479, 728) = 1
Given Input numbers are 31, 840, 479, 728
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 31, 840, 479, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 840, 479, 728 is 1.
Therefore, GCD of numbers 31, 840, 479, 728 is 1
Given Input Data is 31, 840, 479, 728
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 479 is 479
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(31, 840) = 26040
GCD(31, 840) = ( 31 x 840 ) / 26040
GCD(31, 840) = 26040 / 26040
GCD(31, 840) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 479
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 479) = 479
GCD(1, 479) = ( 1 x 479 ) / 479
GCD(1, 479) = 479 / 479
GCD(1, 479) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 1
GCD of 31, 840, 479, 728 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 840, 479, 728?
GCD of 31, 840, 479, 728 is 1
2. Where do I get the detailed procedure to find GCD of 31, 840, 479, 728?
You can find a detailed procedure to find GCD of 31, 840, 479, 728 on our page.
3. How to find GCD of 31, 840, 479, 728 on a calculator?
You can find the GCD of 31, 840, 479, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.