GCD of 963, 951, 999 Calculator

Given Input numbers are 963, 951, 999

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 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Greatest Common Divisior

We found the divisors of 963, 951, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 951, 999 is 3.

Therefore, GCD of numbers 963, 951, 999 is 3

Given Input Data is 963, 951, 999

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 951 is 3 x 317

Prime Factorization of 999 is 3 x 3 x 3 x 37

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 951) = 305271

GCD(963, 951) = ( 963 x 951 ) / 305271

GCD(963, 951) = 915813 / 305271

GCD(963, 951) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 999

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 999) = 999

GCD(3, 999) = ( 3 x 999 ) / 999

GCD(3, 999) = 2997 / 999

GCD(3, 999) = 3

GCD of 963, 951, 999 is 3

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1. What is the GCD of 963, 951, 999?

GCD of 963, 951, 999 is 3

2. Where do I get the detailed procedure to find GCD of 963, 951, 999?

You can find a detailed procedure to find GCD of 963, 951, 999 on our page.

3. How to find GCD of 963, 951, 999 on a calculator?

You can find the GCD of 963, 951, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.