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, 385, 19, 768 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 385, 19, 768 is 1
GCD(112, 385, 19, 768) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 385, 19, 768 is 1
GCD(112, 385, 19, 768) = 1
Given Input numbers are 112, 385, 19, 768
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 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Greatest Common Divisior
We found the divisors of 112, 385, 19, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 385, 19, 768 is 1.
Therefore, GCD of numbers 112, 385, 19, 768 is 1
Given Input Data is 112, 385, 19, 768
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 385 is 5 x 7 x 11
Prime Factorization of 19 is 19
Prime Factorization of 768 is 2 x 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(112, 385) = 6160
GCD(112, 385) = ( 112 x 385 ) / 6160
GCD(112, 385) = 43120 / 6160
GCD(112, 385) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 19) = 133
GCD(7, 19) = ( 7 x 19 ) / 133
GCD(7, 19) = 133 / 133
GCD(7, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
GCD of 112, 385, 19, 768 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 112, 385, 19, 768?
GCD of 112, 385, 19, 768 is 1
2. Where do I get the detailed procedure to find GCD of 112, 385, 19, 768?
You can find a detailed procedure to find GCD of 112, 385, 19, 768 on our page.
3. How to find GCD of 112, 385, 19, 768 on a calculator?
You can find the GCD of 112, 385, 19, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.