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 42, 451, 591, 817 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 451, 591, 817 is 1
GCD(42, 451, 591, 817) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 451, 591, 817 is 1
GCD(42, 451, 591, 817) = 1
Given Input numbers are 42, 451, 591, 817
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Greatest Common Divisior
We found the divisors of 42, 451, 591, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 451, 591, 817 is 1.
Therefore, GCD of numbers 42, 451, 591, 817 is 1
Given Input Data is 42, 451, 591, 817
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 451 is 11 x 41
Prime Factorization of 591 is 3 x 197
Prime Factorization of 817 is 19 x 43
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(42, 451) = 18942
GCD(42, 451) = ( 42 x 451 ) / 18942
GCD(42, 451) = 18942 / 18942
GCD(42, 451) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 591
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 591) = 591
GCD(1, 591) = ( 1 x 591 ) / 591
GCD(1, 591) = 591 / 591
GCD(1, 591) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
GCD of 42, 451, 591, 817 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 451, 591, 817?
GCD of 42, 451, 591, 817 is 1
2. Where do I get the detailed procedure to find GCD of 42, 451, 591, 817?
You can find a detailed procedure to find GCD of 42, 451, 591, 817 on our page.
3. How to find GCD of 42, 451, 591, 817 on a calculator?
You can find the GCD of 42, 451, 591, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.