GCD of 497, 447, 14, 490 Calculator

Given Input numbers are 497, 447, 14, 490

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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

Greatest Common Divisior

We found the divisors of 497, 447, 14, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 447, 14, 490 is 1.

Therefore, GCD of numbers 497, 447, 14, 490 is 1

Given Input Data is 497, 447, 14, 490

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 447 is 3 x 149

Prime Factorization of 14 is 2 x 7

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

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(497, 447) = 222159

GCD(497, 447) = ( 497 x 447 ) / 222159

GCD(497, 447) = 222159 / 222159

GCD(497, 447) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 497, 447, 14, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 375, 49, 422
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• GCD of 756, 829, 82, 553
• GCD of 737, 913, 22, 568
• GCD of 774, 271, 87, 230

1. What is the GCD of 497, 447, 14, 490?

GCD of 497, 447, 14, 490 is 1

2. Where do I get the detailed procedure to find GCD of 497, 447, 14, 490?

You can find a detailed procedure to find GCD of 497, 447, 14, 490 on our page.

3. How to find GCD of 497, 447, 14, 490 on a calculator?

You can find the GCD of 497, 447, 14, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.