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 299, 964, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 964, 963 is 1
GCD(299, 964, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 964, 963 is 1
GCD(299, 964, 963) = 1
Given Input numbers are 299, 964, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 299, 964, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 964, 963 is 1.
Therefore, GCD of numbers 299, 964, 963 is 1
Given Input Data is 299, 964, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 963 is 3 x 3 x 107
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(299, 964) = 288236
GCD(299, 964) = ( 299 x 964 ) / 288236
GCD(299, 964) = 288236 / 288236
GCD(299, 964) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
GCD of 299, 964, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 964, 963?
GCD of 299, 964, 963 is 1
2. Where do I get the detailed procedure to find GCD of 299, 964, 963?
You can find a detailed procedure to find GCD of 299, 964, 963 on our page.
3. How to find GCD of 299, 964, 963 on a calculator?
You can find the GCD of 299, 964, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.