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 963, 100, 96, 896 i.e. 1 largest integer that divides all the numbers equally.
GCD of 963, 100, 96, 896 is 1
GCD(963, 100, 96, 896) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 100, 96, 896 is 1
GCD(963, 100, 96, 896) = 1
Given Input numbers are 963, 100, 96, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
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 963, 100, 96, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 100, 96, 896 is 1.
Therefore, GCD of numbers 963, 100, 96, 896 is 1
Given Input Data is 963, 100, 96, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
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(963, 100) = 96300
GCD(963, 100) = ( 963 x 100 ) / 96300
GCD(963, 100) = 96300 / 96300
GCD(963, 100) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
GCD(1, 896) = 896 / 896
GCD(1, 896) = 1
GCD of 963, 100, 96, 896 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 100, 96, 896?
GCD of 963, 100, 96, 896 is 1
2. Where do I get the detailed procedure to find GCD of 963, 100, 96, 896?
You can find a detailed procedure to find GCD of 963, 100, 96, 896 on our page.
3. How to find GCD of 963, 100, 96, 896 on a calculator?
You can find the GCD of 963, 100, 96, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.