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 442, 167, 47, 306 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 167, 47, 306 is 1
GCD(442, 167, 47, 306) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 167, 47, 306 is 1
GCD(442, 167, 47, 306) = 1
Given Input numbers are 442, 167, 47, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 442, 167, 47, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 167, 47, 306 is 1.
Therefore, GCD of numbers 442, 167, 47, 306 is 1
Given Input Data is 442, 167, 47, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 167 is 167
Prime Factorization of 47 is 47
Prime Factorization of 306 is 2 x 3 x 3 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(442, 167) = 73814
GCD(442, 167) = ( 442 x 167 ) / 73814
GCD(442, 167) = 73814 / 73814
GCD(442, 167) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
GCD of 442, 167, 47, 306 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 167, 47, 306?
GCD of 442, 167, 47, 306 is 1
2. Where do I get the detailed procedure to find GCD of 442, 167, 47, 306?
You can find a detailed procedure to find GCD of 442, 167, 47, 306 on our page.
3. How to find GCD of 442, 167, 47, 306 on a calculator?
You can find the GCD of 442, 167, 47, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.