GCD of 509, 554, 367, 218 Calculator

Given Input numbers are 509, 554, 367, 218

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 509, 554, 367, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 554, 367, 218 is 1.

Therefore, GCD of numbers 509, 554, 367, 218 is 1

Given Input Data is 509, 554, 367, 218

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

Prime Factorization of 509 is 509

Prime Factorization of 554 is 2 x 277

Prime Factorization of 367 is 367

Prime Factorization of 218 is 2 x 109

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(509, 554) = 281986

GCD(509, 554) = ( 509 x 554 ) / 281986

GCD(509, 554) = 281986 / 281986

GCD(509, 554) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 509, 554, 367, 218 is 1

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• GCD of 835, 935, 616, 727
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1. What is the GCD of 509, 554, 367, 218?

GCD of 509, 554, 367, 218 is 1

2. Where do I get the detailed procedure to find GCD of 509, 554, 367, 218?

You can find a detailed procedure to find GCD of 509, 554, 367, 218 on our page.

3. How to find GCD of 509, 554, 367, 218 on a calculator?

You can find the GCD of 509, 554, 367, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.