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 63, 896, 313, 378 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 896, 313, 378 is 1
GCD(63, 896, 313, 378) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 896, 313, 378 is 1
GCD(63, 896, 313, 378) = 1
Given Input numbers are 63, 896, 313, 378
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
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
Divisors of 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 63, 896, 313, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 896, 313, 378 is 1.
Therefore, GCD of numbers 63, 896, 313, 378 is 1
Given Input Data is 63, 896, 313, 378
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 313 is 313
Prime Factorization of 378 is 2 x 3 x 3 x 3 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(63, 896) = 8064
GCD(63, 896) = ( 63 x 896 ) / 8064
GCD(63, 896) = 56448 / 8064
GCD(63, 896) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 313
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 313) = 2191
GCD(7, 313) = ( 7 x 313 ) / 2191
GCD(7, 313) = 2191 / 2191
GCD(7, 313) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
GCD(1, 378) = 378 / 378
GCD(1, 378) = 1
GCD of 63, 896, 313, 378 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 896, 313, 378?
GCD of 63, 896, 313, 378 is 1
2. Where do I get the detailed procedure to find GCD of 63, 896, 313, 378?
You can find a detailed procedure to find GCD of 63, 896, 313, 378 on our page.
3. How to find GCD of 63, 896, 313, 378 on a calculator?
You can find the GCD of 63, 896, 313, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.