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 11, 443, 222, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 443, 222, 343 is 1
GCD(11, 443, 222, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 443, 222, 343 is 1
GCD(11, 443, 222, 343) = 1
Given Input numbers are 11, 443, 222, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 443
List of positive integer divisors of 443 that divides 443 without a remainder.
1, 443
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 11, 443, 222, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 443, 222, 343 is 1.
Therefore, GCD of numbers 11, 443, 222, 343 is 1
Given Input Data is 11, 443, 222, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 443 is 443
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 343 is 7 x 7 x 7
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(11, 443) = 4873
GCD(11, 443) = ( 11 x 443 ) / 4873
GCD(11, 443) = 4873 / 4873
GCD(11, 443) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 11, 443, 222, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 443, 222, 343?
GCD of 11, 443, 222, 343 is 1
2. Where do I get the detailed procedure to find GCD of 11, 443, 222, 343?
You can find a detailed procedure to find GCD of 11, 443, 222, 343 on our page.
3. How to find GCD of 11, 443, 222, 343 on a calculator?
You can find the GCD of 11, 443, 222, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.