GCD of 808, 490, 960 Calculator

Given Input numbers are 808, 490, 960

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 808, 490, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 490, 960 is 2.

Therefore, GCD of numbers 808, 490, 960 is 2

Given Input Data is 808, 490, 960

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 490 is 2 x 5 x 7 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(808, 490) = 197960

GCD(808, 490) = ( 808 x 490 ) / 197960

GCD(808, 490) = 395920 / 197960

GCD(808, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 808, 490, 960 is 2

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1. What is the GCD of 808, 490, 960?

GCD of 808, 490, 960 is 2

2. Where do I get the detailed procedure to find GCD of 808, 490, 960?

You can find a detailed procedure to find GCD of 808, 490, 960 on our page.

3. How to find GCD of 808, 490, 960 on a calculator?

You can find the GCD of 808, 490, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.