GCD of 182, 413, 497 Calculator

Given Input numbers are 182, 413, 497

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 497

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

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 182, 413, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 413, 497 is 7.

Therefore, GCD of numbers 182, 413, 497 is 7

Given Input Data is 182, 413, 497

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 413 is 7 x 59

Prime Factorization of 497 is 7 x 71

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(182, 413) = 10738

GCD(182, 413) = ( 182 x 413 ) / 10738

GCD(182, 413) = 75166 / 10738

GCD(182, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 497

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

LCM(7, 497) = 497

GCD(7, 497) = ( 7 x 497 ) / 497

GCD(7, 497) = 3479 / 497

GCD(7, 497) = 7

GCD of 182, 413, 497 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 142, 551
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• GCD of 964, 510, 342
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1. What is the GCD of 182, 413, 497?

GCD of 182, 413, 497 is 7

2. Where do I get the detailed procedure to find GCD of 182, 413, 497?

You can find a detailed procedure to find GCD of 182, 413, 497 on our page.

3. How to find GCD of 182, 413, 497 on a calculator?

You can find the GCD of 182, 413, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.