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, 368, 919, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 368, 919, 170 is 1
GCD(384, 368, 919, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 368, 919, 170 is 1
GCD(384, 368, 919, 170) = 1
Given Input numbers are 384, 368, 919, 170
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 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 384, 368, 919, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 368, 919, 170 is 1.
Therefore, GCD of numbers 384, 368, 919, 170 is 1
Given Input Data is 384, 368, 919, 170
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 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 919 is 919
Prime Factorization of 170 is 2 x 5 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, 368) = 8832
GCD(384, 368) = ( 384 x 368 ) / 8832
GCD(384, 368) = 141312 / 8832
GCD(384, 368) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 919
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 919) = 14704
GCD(16, 919) = ( 16 x 919 ) / 14704
GCD(16, 919) = 14704 / 14704
GCD(16, 919) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 384, 368, 919, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 368, 919, 170?
GCD of 384, 368, 919, 170 is 1
2. Where do I get the detailed procedure to find GCD of 384, 368, 919, 170?
You can find a detailed procedure to find GCD of 384, 368, 919, 170 on our page.
3. How to find GCD of 384, 368, 919, 170 on a calculator?
You can find the GCD of 384, 368, 919, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.