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 304, 326, 22, 948 i.e. 2 largest integer that divides all the numbers equally.
GCD of 304, 326, 22, 948 is 2
GCD(304, 326, 22, 948) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 326, 22, 948 is 2
GCD(304, 326, 22, 948) = 2
Given Input numbers are 304, 326, 22, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 304, 326, 22, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 326, 22, 948 is 2.
Therefore, GCD of numbers 304, 326, 22, 948 is 2
Given Input Data is 304, 326, 22, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 326 is 2 x 163
Prime Factorization of 22 is 2 x 11
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(304, 326) = 49552
GCD(304, 326) = ( 304 x 326 ) / 49552
GCD(304, 326) = 99104 / 49552
GCD(304, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 22) = 22
GCD(2, 22) = ( 2 x 22 ) / 22
GCD(2, 22) = 44 / 22
GCD(2, 22) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 948) = 948
GCD(2, 948) = ( 2 x 948 ) / 948
GCD(2, 948) = 1896 / 948
GCD(2, 948) = 2
GCD of 304, 326, 22, 948 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 326, 22, 948?
GCD of 304, 326, 22, 948 is 2
2. Where do I get the detailed procedure to find GCD of 304, 326, 22, 948?
You can find a detailed procedure to find GCD of 304, 326, 22, 948 on our page.
3. How to find GCD of 304, 326, 22, 948 on a calculator?
You can find the GCD of 304, 326, 22, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.