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 164, 384, 47, 935 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 384, 47, 935 is 1
GCD(164, 384, 47, 935) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 384, 47, 935 is 1
GCD(164, 384, 47, 935) = 1
Given Input numbers are 164, 384, 47, 935
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
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 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Greatest Common Divisior
We found the divisors of 164, 384, 47, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 384, 47, 935 is 1.
Therefore, GCD of numbers 164, 384, 47, 935 is 1
Given Input Data is 164, 384, 47, 935
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 47 is 47
Prime Factorization of 935 is 5 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(164, 384) = 15744
GCD(164, 384) = ( 164 x 384 ) / 15744
GCD(164, 384) = 62976 / 15744
GCD(164, 384) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 47) = 188
GCD(4, 47) = ( 4 x 47 ) / 188
GCD(4, 47) = 188 / 188
GCD(4, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 935
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 935) = 935
GCD(1, 935) = ( 1 x 935 ) / 935
GCD(1, 935) = 935 / 935
GCD(1, 935) = 1
GCD of 164, 384, 47, 935 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 384, 47, 935?
GCD of 164, 384, 47, 935 is 1
2. Where do I get the detailed procedure to find GCD of 164, 384, 47, 935?
You can find a detailed procedure to find GCD of 164, 384, 47, 935 on our page.
3. How to find GCD of 164, 384, 47, 935 on a calculator?
You can find the GCD of 164, 384, 47, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.