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 384, 674, 34, 446 i.e. 2 largest integer that divides all the numbers equally.
GCD of 384, 674, 34, 446 is 2
GCD(384, 674, 34, 446) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 674, 34, 446 is 2
GCD(384, 674, 34, 446) = 2
Given Input numbers are 384, 674, 34, 446
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Greatest Common Divisior
We found the divisors of 384, 674, 34, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 674, 34, 446 is 2.
Therefore, GCD of numbers 384, 674, 34, 446 is 2
Given Input Data is 384, 674, 34, 446
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 674 is 2 x 337
Prime Factorization of 34 is 2 x 17
Prime Factorization of 446 is 2 x 223
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(384, 674) = 129408
GCD(384, 674) = ( 384 x 674 ) / 129408
GCD(384, 674) = 258816 / 129408
GCD(384, 674) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
GCD(2, 446) = 892 / 446
GCD(2, 446) = 2
GCD of 384, 674, 34, 446 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 674, 34, 446?
GCD of 384, 674, 34, 446 is 2
2. Where do I get the detailed procedure to find GCD of 384, 674, 34, 446?
You can find a detailed procedure to find GCD of 384, 674, 34, 446 on our page.
3. How to find GCD of 384, 674, 34, 446 on a calculator?
You can find the GCD of 384, 674, 34, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.