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, 357, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 357, 374 is 1
GCD(384, 357, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 357, 374 is 1
GCD(384, 357, 374) = 1
Given Input numbers are 384, 357, 374
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 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
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 384, 357, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 357, 374 is 1.
Therefore, GCD of numbers 384, 357, 374 is 1
Given Input Data is 384, 357, 374
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 357 is 3 x 7 x 17
Prime Factorization of 374 is 2 x 11 x 17
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(384, 357) = 45696
GCD(384, 357) = ( 384 x 357 ) / 45696
GCD(384, 357) = 137088 / 45696
GCD(384, 357) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 374) = 1122
GCD(3, 374) = ( 3 x 374 ) / 1122
GCD(3, 374) = 1122 / 1122
GCD(3, 374) = 1
GCD of 384, 357, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 357, 374?
GCD of 384, 357, 374 is 1
2. Where do I get the detailed procedure to find GCD of 384, 357, 374?
You can find a detailed procedure to find GCD of 384, 357, 374 on our page.
3. How to find GCD of 384, 357, 374 on a calculator?
You can find the GCD of 384, 357, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.