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 32, 478, 128, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 478, 128, 165 is 1
GCD(32, 478, 128, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 478, 128, 165 is 1
GCD(32, 478, 128, 165) = 1
Given Input numbers are 32, 478, 128, 165
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 32, 478, 128, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 478, 128, 165 is 1.
Therefore, GCD of numbers 32, 478, 128, 165 is 1
Given Input Data is 32, 478, 128, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 478 is 2 x 239
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 165 is 3 x 5 x 11
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(32, 478) = 7648
GCD(32, 478) = ( 32 x 478 ) / 7648
GCD(32, 478) = 15296 / 7648
GCD(32, 478) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 128) = 128
GCD(2, 128) = ( 2 x 128 ) / 128
GCD(2, 128) = 256 / 128
GCD(2, 128) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 165) = 330
GCD(2, 165) = ( 2 x 165 ) / 330
GCD(2, 165) = 330 / 330
GCD(2, 165) = 1
GCD of 32, 478, 128, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 478, 128, 165?
GCD of 32, 478, 128, 165 is 1
2. Where do I get the detailed procedure to find GCD of 32, 478, 128, 165?
You can find a detailed procedure to find GCD of 32, 478, 128, 165 on our page.
3. How to find GCD of 32, 478, 128, 165 on a calculator?
You can find the GCD of 32, 478, 128, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.