GCD of 484, 105, 960 Calculator

Given Input numbers are 484, 105, 960

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 484, 105, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 105, 960 is 1.

Therefore, GCD of numbers 484, 105, 960 is 1

Given Input Data is 484, 105, 960

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(484, 105) = 50820

GCD(484, 105) = ( 484 x 105 ) / 50820

GCD(484, 105) = 50820 / 50820

GCD(484, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

GCD of 484, 105, 960 is 1

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1. What is the GCD of 484, 105, 960?

GCD of 484, 105, 960 is 1

2. Where do I get the detailed procedure to find GCD of 484, 105, 960?

You can find a detailed procedure to find GCD of 484, 105, 960 on our page.

3. How to find GCD of 484, 105, 960 on a calculator?

You can find the GCD of 484, 105, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.