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 163, 341, 51, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 163, 341, 51, 384 is 1
GCD(163, 341, 51, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 163, 341, 51, 384 is 1
GCD(163, 341, 51, 384) = 1
Given Input numbers are 163, 341, 51, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
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
Greatest Common Divisior
We found the divisors of 163, 341, 51, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 163, 341, 51, 384 is 1.
Therefore, GCD of numbers 163, 341, 51, 384 is 1
Given Input Data is 163, 341, 51, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 163 is 163
Prime Factorization of 341 is 11 x 31
Prime Factorization of 51 is 3 x 17
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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(163, 341) = 55583
GCD(163, 341) = ( 163 x 341 ) / 55583
GCD(163, 341) = 55583 / 55583
GCD(163, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 163, 341, 51, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 163, 341, 51, 384?
GCD of 163, 341, 51, 384 is 1
2. Where do I get the detailed procedure to find GCD of 163, 341, 51, 384?
You can find a detailed procedure to find GCD of 163, 341, 51, 384 on our page.
3. How to find GCD of 163, 341, 51, 384 on a calculator?
You can find the GCD of 163, 341, 51, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.