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 202, 220, 16, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 220, 16, 329 is 1
GCD(202, 220, 16, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 220, 16, 329 is 1
GCD(202, 220, 16, 329) = 1
Given Input numbers are 202, 220, 16, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 202, 220, 16, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 220, 16, 329 is 1.
Therefore, GCD of numbers 202, 220, 16, 329 is 1
Given Input Data is 202, 220, 16, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 329 is 7 x 47
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(202, 220) = 22220
GCD(202, 220) = ( 202 x 220 ) / 22220
GCD(202, 220) = 44440 / 22220
GCD(202, 220) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 16
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 16) = 16
GCD(2, 16) = ( 2 x 16 ) / 16
GCD(2, 16) = 32 / 16
GCD(2, 16) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 329) = 658
GCD(2, 329) = ( 2 x 329 ) / 658
GCD(2, 329) = 658 / 658
GCD(2, 329) = 1
GCD of 202, 220, 16, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 220, 16, 329?
GCD of 202, 220, 16, 329 is 1
2. Where do I get the detailed procedure to find GCD of 202, 220, 16, 329?
You can find a detailed procedure to find GCD of 202, 220, 16, 329 on our page.
3. How to find GCD of 202, 220, 16, 329 on a calculator?
You can find the GCD of 202, 220, 16, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.