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, 467, 394, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 467, 394, 533 is 1
GCD(312, 467, 394, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 467, 394, 533 is 1
GCD(312, 467, 394, 533) = 1
Given Input numbers are 312, 467, 394, 533
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 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 312, 467, 394, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 467, 394, 533 is 1.
Therefore, GCD of numbers 312, 467, 394, 533 is 1
Given Input Data is 312, 467, 394, 533
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 467 is 467
Prime Factorization of 394 is 2 x 197
Prime Factorization of 533 is 13 x 41
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, 467) = 145704
GCD(312, 467) = ( 312 x 467 ) / 145704
GCD(312, 467) = 145704 / 145704
GCD(312, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 394
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 394) = 394
GCD(1, 394) = ( 1 x 394 ) / 394
GCD(1, 394) = 394 / 394
GCD(1, 394) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 312, 467, 394, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 467, 394, 533?
GCD of 312, 467, 394, 533 is 1
2. Where do I get the detailed procedure to find GCD of 312, 467, 394, 533?
You can find a detailed procedure to find GCD of 312, 467, 394, 533 on our page.
3. How to find GCD of 312, 467, 394, 533 on a calculator?
You can find the GCD of 312, 467, 394, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.