GCD of 490, 472, 684, 446 Calculator

Given Input numbers are 490, 472, 684, 446

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

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 490, 472, 684, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 472, 684, 446 is 2.

Therefore, GCD of numbers 490, 472, 684, 446 is 2

Given Input Data is 490, 472, 684, 446

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

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 446 is 2 x 223

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(490, 472) = 115640

GCD(490, 472) = ( 490 x 472 ) / 115640

GCD(490, 472) = 231280 / 115640

GCD(490, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

GCD of 490, 472, 684, 446 is 2

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1. What is the GCD of 490, 472, 684, 446?

GCD of 490, 472, 684, 446 is 2

2. Where do I get the detailed procedure to find GCD of 490, 472, 684, 446?

You can find a detailed procedure to find GCD of 490, 472, 684, 446 on our page.

3. How to find GCD of 490, 472, 684, 446 on a calculator?

You can find the GCD of 490, 472, 684, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.