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 472, 834, 42, 287 i.e. 1 largest integer that divides all the numbers equally.
GCD of 472, 834, 42, 287 is 1
GCD(472, 834, 42, 287) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 472, 834, 42, 287 is 1
GCD(472, 834, 42, 287) = 1
Given Input numbers are 472, 834, 42, 287
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
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 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Greatest Common Divisior
We found the divisors of 472, 834, 42, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 834, 42, 287 is 1.
Therefore, GCD of numbers 472, 834, 42, 287 is 1
Given Input Data is 472, 834, 42, 287
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 287 is 7 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(472, 834) = 196824
GCD(472, 834) = ( 472 x 834 ) / 196824
GCD(472, 834) = 393648 / 196824
GCD(472, 834) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 287) = 574
GCD(2, 287) = ( 2 x 287 ) / 574
GCD(2, 287) = 574 / 574
GCD(2, 287) = 1
GCD of 472, 834, 42, 287 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 472, 834, 42, 287?
GCD of 472, 834, 42, 287 is 1
2. Where do I get the detailed procedure to find GCD of 472, 834, 42, 287?
You can find a detailed procedure to find GCD of 472, 834, 42, 287 on our page.
3. How to find GCD of 472, 834, 42, 287 on a calculator?
You can find the GCD of 472, 834, 42, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.