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 60, 493, 331, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 493, 331, 424 is 1
GCD(60, 493, 331, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 493, 331, 424 is 1
GCD(60, 493, 331, 424) = 1
Given Input numbers are 60, 493, 331, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 60, 493, 331, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 493, 331, 424 is 1.
Therefore, GCD of numbers 60, 493, 331, 424 is 1
Given Input Data is 60, 493, 331, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 493 is 17 x 29
Prime Factorization of 331 is 331
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(60, 493) = 29580
GCD(60, 493) = ( 60 x 493 ) / 29580
GCD(60, 493) = 29580 / 29580
GCD(60, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 60, 493, 331, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 493, 331, 424?
GCD of 60, 493, 331, 424 is 1
2. Where do I get the detailed procedure to find GCD of 60, 493, 331, 424?
You can find a detailed procedure to find GCD of 60, 493, 331, 424 on our page.
3. How to find GCD of 60, 493, 331, 424 on a calculator?
You can find the GCD of 60, 493, 331, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.