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 463, 999, 35, 580 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 999, 35, 580 is 1
GCD(463, 999, 35, 580) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 999, 35, 580 is 1
GCD(463, 999, 35, 580) = 1
Given Input numbers are 463, 999, 35, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Greatest Common Divisior
We found the divisors of 463, 999, 35, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 999, 35, 580 is 1.
Therefore, GCD of numbers 463, 999, 35, 580 is 1
Given Input Data is 463, 999, 35, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 35 is 5 x 7
Prime Factorization of 580 is 2 x 2 x 5 x 29
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(463, 999) = 462537
GCD(463, 999) = ( 463 x 999 ) / 462537
GCD(463, 999) = 462537 / 462537
GCD(463, 999) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 580) = 580
GCD(1, 580) = ( 1 x 580 ) / 580
GCD(1, 580) = 580 / 580
GCD(1, 580) = 1
GCD of 463, 999, 35, 580 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 999, 35, 580?
GCD of 463, 999, 35, 580 is 1
2. Where do I get the detailed procedure to find GCD of 463, 999, 35, 580?
You can find a detailed procedure to find GCD of 463, 999, 35, 580 on our page.
3. How to find GCD of 463, 999, 35, 580 on a calculator?
You can find the GCD of 463, 999, 35, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.