GCD of 497, 424, 49, 329 Calculator

Given Input numbers are 497, 424, 49, 329

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 497, 424, 49, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 424, 49, 329 is 1.

Therefore, GCD of numbers 497, 424, 49, 329 is 1

Given Input Data is 497, 424, 49, 329

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 49 is 7 x 7

Prime Factorization of 329 is 7 x 47

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, 424) = 210728

GCD(497, 424) = ( 497 x 424 ) / 210728

GCD(497, 424) = 210728 / 210728

GCD(497, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 497, 424, 49, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 799, 11, 613
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• GCD of 757, 686, 16, 967
• GCD of 777, 324, 33, 986
• GCD of 342, 430, 58, 211

1. What is the GCD of 497, 424, 49, 329?

GCD of 497, 424, 49, 329 is 1

2. Where do I get the detailed procedure to find GCD of 497, 424, 49, 329?

You can find a detailed procedure to find GCD of 497, 424, 49, 329 on our page.

3. How to find GCD of 497, 424, 49, 329 on a calculator?

You can find the GCD of 497, 424, 49, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.