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 181, 812, 13, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 181, 812, 13, 200 is 1
GCD(181, 812, 13, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 181, 812, 13, 200 is 1
GCD(181, 812, 13, 200) = 1
Given Input numbers are 181, 812, 13, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
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 181, 812, 13, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 181, 812, 13, 200 is 1.
Therefore, GCD of numbers 181, 812, 13, 200 is 1
Given Input Data is 181, 812, 13, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 181 is 181
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 13 is 13
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(181, 812) = 146972
GCD(181, 812) = ( 181 x 812 ) / 146972
GCD(181, 812) = 146972 / 146972
GCD(181, 812) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 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 181, 812, 13, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 181, 812, 13, 200?
GCD of 181, 812, 13, 200 is 1
2. Where do I get the detailed procedure to find GCD of 181, 812, 13, 200?
You can find a detailed procedure to find GCD of 181, 812, 13, 200 on our page.
3. How to find GCD of 181, 812, 13, 200 on a calculator?
You can find the GCD of 181, 812, 13, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.