GCD of 497, 816, 109, 180 Calculator

Given Input numbers are 497, 816, 109, 180

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 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 497, 816, 109, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 816, 109, 180 is 1.

Therefore, GCD of numbers 497, 816, 109, 180 is 1

Given Input Data is 497, 816, 109, 180

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 109 is 109

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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, 816) = 405552

GCD(497, 816) = ( 497 x 816 ) / 405552

GCD(497, 816) = 405552 / 405552

GCD(497, 816) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 497, 816, 109, 180 is 1

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• GCD of 561, 497, 789, 353
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• GCD of 301, 304, 715, 285

1. What is the GCD of 497, 816, 109, 180?

GCD of 497, 816, 109, 180 is 1

2. Where do I get the detailed procedure to find GCD of 497, 816, 109, 180?

You can find a detailed procedure to find GCD of 497, 816, 109, 180 on our page.

3. How to find GCD of 497, 816, 109, 180 on a calculator?

You can find the GCD of 497, 816, 109, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.