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 475, 473, 38, 844 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 473, 38, 844 is 1
GCD(475, 473, 38, 844) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 473, 38, 844 is 1
GCD(475, 473, 38, 844) = 1
Given Input numbers are 475, 473, 38, 844
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Greatest Common Divisior
We found the divisors of 475, 473, 38, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 473, 38, 844 is 1.
Therefore, GCD of numbers 475, 473, 38, 844 is 1
Given Input Data is 475, 473, 38, 844
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 473 is 11 x 43
Prime Factorization of 38 is 2 x 19
Prime Factorization of 844 is 2 x 2 x 211
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(475, 473) = 224675
GCD(475, 473) = ( 475 x 473 ) / 224675
GCD(475, 473) = 224675 / 224675
GCD(475, 473) = 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 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
GCD(1, 844) = 844 / 844
GCD(1, 844) = 1
GCD of 475, 473, 38, 844 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 473, 38, 844?
GCD of 475, 473, 38, 844 is 1
2. Where do I get the detailed procedure to find GCD of 475, 473, 38, 844?
You can find a detailed procedure to find GCD of 475, 473, 38, 844 on our page.
3. How to find GCD of 475, 473, 38, 844 on a calculator?
You can find the GCD of 475, 473, 38, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.