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 128, 206, 18, 322 i.e. 2 largest integer that divides all the numbers equally.
GCD of 128, 206, 18, 322 is 2
GCD(128, 206, 18, 322) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 128, 206, 18, 322 is 2
GCD(128, 206, 18, 322) = 2
Given Input numbers are 128, 206, 18, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 128, 206, 18, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 206, 18, 322 is 2.
Therefore, GCD of numbers 128, 206, 18, 322 is 2
Given Input Data is 128, 206, 18, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 206 is 2 x 103
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 322 is 2 x 7 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(128, 206) = 13184
GCD(128, 206) = ( 128 x 206 ) / 13184
GCD(128, 206) = 26368 / 13184
GCD(128, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 322) = 322
GCD(2, 322) = ( 2 x 322 ) / 322
GCD(2, 322) = 644 / 322
GCD(2, 322) = 2
GCD of 128, 206, 18, 322 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 128, 206, 18, 322?
GCD of 128, 206, 18, 322 is 2
2. Where do I get the detailed procedure to find GCD of 128, 206, 18, 322?
You can find a detailed procedure to find GCD of 128, 206, 18, 322 on our page.
3. How to find GCD of 128, 206, 18, 322 on a calculator?
You can find the GCD of 128, 206, 18, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.