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 444, 167, 67, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 167, 67, 384 is 1
GCD(444, 167, 67, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 167, 67, 384 is 1
GCD(444, 167, 67, 384) = 1
Given Input numbers are 444, 167, 67, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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 444, 167, 67, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 167, 67, 384 is 1.
Therefore, GCD of numbers 444, 167, 67, 384 is 1
Given Input Data is 444, 167, 67, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 167 is 167
Prime Factorization of 67 is 67
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(444, 167) = 74148
GCD(444, 167) = ( 444 x 167 ) / 74148
GCD(444, 167) = 74148 / 74148
GCD(444, 167) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 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 444, 167, 67, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 167, 67, 384?
GCD of 444, 167, 67, 384 is 1
2. Where do I get the detailed procedure to find GCD of 444, 167, 67, 384?
You can find a detailed procedure to find GCD of 444, 167, 67, 384 on our page.
3. How to find GCD of 444, 167, 67, 384 on a calculator?
You can find the GCD of 444, 167, 67, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.