GCD of 496, 217, 19, 361 Calculator

Given Input numbers are 496, 217, 19, 361

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 496, 217, 19, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 217, 19, 361 is 1.

Therefore, GCD of numbers 496, 217, 19, 361 is 1

Given Input Data is 496, 217, 19, 361

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 217 is 7 x 31

Prime Factorization of 19 is 19

Prime Factorization of 361 is 19 x 19

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(496, 217) = 3472

GCD(496, 217) = ( 496 x 217 ) / 3472

GCD(496, 217) = 107632 / 3472

GCD(496, 217) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 19

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

LCM(31, 19) = 589

GCD(31, 19) = ( 31 x 19 ) / 589

GCD(31, 19) = 589 / 589

GCD(31, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 496, 217, 19, 361 is 1

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• GCD of 547, 786, 54, 909
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1. What is the GCD of 496, 217, 19, 361?

GCD of 496, 217, 19, 361 is 1

2. Where do I get the detailed procedure to find GCD of 496, 217, 19, 361?

You can find a detailed procedure to find GCD of 496, 217, 19, 361 on our page.

3. How to find GCD of 496, 217, 19, 361 on a calculator?

You can find the GCD of 496, 217, 19, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.