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 163, 400, 481, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 163, 400, 481, 200 is 1
GCD(163, 400, 481, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 163, 400, 481, 200 is 1
GCD(163, 400, 481, 200) = 1
Given Input numbers are 163, 400, 481, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 163, 400, 481, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 163, 400, 481, 200 is 1.
Therefore, GCD of numbers 163, 400, 481, 200 is 1
Given Input Data is 163, 400, 481, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 163 is 163
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 481 is 13 x 37
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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(163, 400) = 65200
GCD(163, 400) = ( 163 x 400 ) / 65200
GCD(163, 400) = 65200 / 65200
GCD(163, 400) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 481) = 481
GCD(1, 481) = ( 1 x 481 ) / 481
GCD(1, 481) = 481 / 481
GCD(1, 481) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 163, 400, 481, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 163, 400, 481, 200?
GCD of 163, 400, 481, 200 is 1
2. Where do I get the detailed procedure to find GCD of 163, 400, 481, 200?
You can find a detailed procedure to find GCD of 163, 400, 481, 200 on our page.
3. How to find GCD of 163, 400, 481, 200 on a calculator?
You can find the GCD of 163, 400, 481, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.