GCD of 951, 105, 963, 396 Calculator

Given Input numbers are 951, 105, 963, 396

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 951

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

1, 3, 317, 951

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 951, 105, 963, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 105, 963, 396 is 3.

Therefore, GCD of numbers 951, 105, 963, 396 is 3

Given Input Data is 951, 105, 963, 396

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 951 is 3 x 317

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(951, 105) = 33285

GCD(951, 105) = ( 951 x 105 ) / 33285

GCD(951, 105) = 99855 / 33285

GCD(951, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 963

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

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

GCD(3, 963) = 2889 / 963

GCD(3, 963) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 396

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

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

GCD(3, 396) = 1188 / 396

GCD(3, 396) = 3

GCD of 951, 105, 963, 396 is 3

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1. What is the GCD of 951, 105, 963, 396?

GCD of 951, 105, 963, 396 is 3

2. Where do I get the detailed procedure to find GCD of 951, 105, 963, 396?

You can find a detailed procedure to find GCD of 951, 105, 963, 396 on our page.

3. How to find GCD of 951, 105, 963, 396 on a calculator?

You can find the GCD of 951, 105, 963, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.