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 112, 333, 40, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 333, 40, 548 is 1
GCD(112, 333, 40, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 333, 40, 548 is 1
GCD(112, 333, 40, 548) = 1
Given Input numbers are 112, 333, 40, 548
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 112, 333, 40, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 333, 40, 548 is 1.
Therefore, GCD of numbers 112, 333, 40, 548 is 1
Given Input Data is 112, 333, 40, 548
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 548 is 2 x 2 x 137
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(112, 333) = 37296
GCD(112, 333) = ( 112 x 333 ) / 37296
GCD(112, 333) = 37296 / 37296
GCD(112, 333) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
GCD of 112, 333, 40, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 333, 40, 548?
GCD of 112, 333, 40, 548 is 1
2. Where do I get the detailed procedure to find GCD of 112, 333, 40, 548?
You can find a detailed procedure to find GCD of 112, 333, 40, 548 on our page.
3. How to find GCD of 112, 333, 40, 548 on a calculator?
You can find the GCD of 112, 333, 40, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.