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 24, 394, 224, 374 i.e. 2 largest integer that divides all the numbers equally.
GCD of 24, 394, 224, 374 is 2
GCD(24, 394, 224, 374) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 394, 224, 374 is 2
GCD(24, 394, 224, 374) = 2
Given Input numbers are 24, 394, 224, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 24, 394, 224, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 394, 224, 374 is 2.
Therefore, GCD of numbers 24, 394, 224, 374 is 2
Given Input Data is 24, 394, 224, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 394 is 2 x 197
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 374 is 2 x 11 x 17
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(24, 394) = 4728
GCD(24, 394) = ( 24 x 394 ) / 4728
GCD(24, 394) = 9456 / 4728
GCD(24, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
GCD(2, 224) = 448 / 224
GCD(2, 224) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
GCD(2, 374) = 748 / 374
GCD(2, 374) = 2
GCD of 24, 394, 224, 374 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 394, 224, 374?
GCD of 24, 394, 224, 374 is 2
2. Where do I get the detailed procedure to find GCD of 24, 394, 224, 374?
You can find a detailed procedure to find GCD of 24, 394, 224, 374 on our page.
3. How to find GCD of 24, 394, 224, 374 on a calculator?
You can find the GCD of 24, 394, 224, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.