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 143, 104, 896 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 104, 896 is 1
GCD(143, 104, 896) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 104, 896 is 1
GCD(143, 104, 896) = 1
Given Input numbers are 143, 104, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Greatest Common Divisior
We found the divisors of 143, 104, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 104, 896 is 1.
Therefore, GCD of numbers 143, 104, 896 is 1
Given Input Data is 143, 104, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
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(143, 104) = 1144
GCD(143, 104) = ( 143 x 104 ) / 1144
GCD(143, 104) = 14872 / 1144
GCD(143, 104) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 896) = 11648
GCD(13, 896) = ( 13 x 896 ) / 11648
GCD(13, 896) = 11648 / 11648
GCD(13, 896) = 1
GCD of 143, 104, 896 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 104, 896?
GCD of 143, 104, 896 is 1
2. Where do I get the detailed procedure to find GCD of 143, 104, 896?
You can find a detailed procedure to find GCD of 143, 104, 896 on our page.
3. How to find GCD of 143, 104, 896 on a calculator?
You can find the GCD of 143, 104, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.