GCD of 503, 408, 196, 217 Calculator

Given Input numbers are 503, 408, 196, 217

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 217

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

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 503, 408, 196, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 408, 196, 217 is 1.

Therefore, GCD of numbers 503, 408, 196, 217 is 1

Given Input Data is 503, 408, 196, 217

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

Prime Factorization of 503 is 503

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 217 is 7 x 31

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(503, 408) = 205224

GCD(503, 408) = ( 503 x 408 ) / 205224

GCD(503, 408) = 205224 / 205224

GCD(503, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 503, 408, 196, 217 is 1

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1. What is the GCD of 503, 408, 196, 217?

GCD of 503, 408, 196, 217 is 1

2. Where do I get the detailed procedure to find GCD of 503, 408, 196, 217?

You can find a detailed procedure to find GCD of 503, 408, 196, 217 on our page.

3. How to find GCD of 503, 408, 196, 217 on a calculator?

You can find the GCD of 503, 408, 196, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.