GCD of 982, 480, 462 Calculator

Given Input numbers are 982, 480, 462

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 982, 480, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 480, 462 is 2.

Therefore, GCD of numbers 982, 480, 462 is 2

Given Input Data is 982, 480, 462

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(982, 480) = 235680

GCD(982, 480) = ( 982 x 480 ) / 235680

GCD(982, 480) = 471360 / 235680

GCD(982, 480) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 462

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

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

GCD(2, 462) = 924 / 462

GCD(2, 462) = 2

GCD of 982, 480, 462 is 2

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1. What is the GCD of 982, 480, 462?

GCD of 982, 480, 462 is 2

2. Where do I get the detailed procedure to find GCD of 982, 480, 462?

You can find a detailed procedure to find GCD of 982, 480, 462 on our page.

3. How to find GCD of 982, 480, 462 on a calculator?

You can find the GCD of 982, 480, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.