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 200, 323, 251, 222 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 323, 251, 222 is 1
GCD(200, 323, 251, 222) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 323, 251, 222 is 1
GCD(200, 323, 251, 222) = 1
Given Input numbers are 200, 323, 251, 222
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Greatest Common Divisior
We found the divisors of 200, 323, 251, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 323, 251, 222 is 1.
Therefore, GCD of numbers 200, 323, 251, 222 is 1
Given Input Data is 200, 323, 251, 222
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 323 is 17 x 19
Prime Factorization of 251 is 251
Prime Factorization of 222 is 2 x 3 x 37
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(200, 323) = 64600
GCD(200, 323) = ( 200 x 323 ) / 64600
GCD(200, 323) = 64600 / 64600
GCD(200, 323) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
GCD of 200, 323, 251, 222 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 323, 251, 222?
GCD of 200, 323, 251, 222 is 1
2. Where do I get the detailed procedure to find GCD of 200, 323, 251, 222?
You can find a detailed procedure to find GCD of 200, 323, 251, 222 on our page.
3. How to find GCD of 200, 323, 251, 222 on a calculator?
You can find the GCD of 200, 323, 251, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.