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 312, 499, 85, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 499, 85, 631 is 1
GCD(312, 499, 85, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 499, 85, 631 is 1
GCD(312, 499, 85, 631) = 1
Given Input numbers are 312, 499, 85, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 312, 499, 85, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 499, 85, 631 is 1.
Therefore, GCD of numbers 312, 499, 85, 631 is 1
Given Input Data is 312, 499, 85, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 499 is 499
Prime Factorization of 85 is 5 x 17
Prime Factorization of 631 is 631
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(312, 499) = 155688
GCD(312, 499) = ( 312 x 499 ) / 155688
GCD(312, 499) = 155688 / 155688
GCD(312, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 312, 499, 85, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 499, 85, 631?
GCD of 312, 499, 85, 631 is 1
2. Where do I get the detailed procedure to find GCD of 312, 499, 85, 631?
You can find a detailed procedure to find GCD of 312, 499, 85, 631 on our page.
3. How to find GCD of 312, 499, 85, 631 on a calculator?
You can find the GCD of 312, 499, 85, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.