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 413, 443, 38, 858 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 443, 38, 858 is 1
GCD(413, 443, 38, 858) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 443, 38, 858 is 1
GCD(413, 443, 38, 858) = 1
Given Input numbers are 413, 443, 38, 858
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Greatest Common Divisior
We found the divisors of 413, 443, 38, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 443, 38, 858 is 1.
Therefore, GCD of numbers 413, 443, 38, 858 is 1
Given Input Data is 413, 443, 38, 858
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 443 is 443
Prime Factorization of 38 is 2 x 19
Prime Factorization of 858 is 2 x 3 x 11 x 13
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(413, 443) = 182959
GCD(413, 443) = ( 413 x 443 ) / 182959
GCD(413, 443) = 182959 / 182959
GCD(413, 443) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
GCD of 413, 443, 38, 858 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 443, 38, 858?
GCD of 413, 443, 38, 858 is 1
2. Where do I get the detailed procedure to find GCD of 413, 443, 38, 858?
You can find a detailed procedure to find GCD of 413, 443, 38, 858 on our page.
3. How to find GCD of 413, 443, 38, 858 on a calculator?
You can find the GCD of 413, 443, 38, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.