GCD of 297, 335, 50, 218 Calculator

Given Input numbers are 297, 335, 50, 218

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 297, 335, 50, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 335, 50, 218 is 1.

Therefore, GCD of numbers 297, 335, 50, 218 is 1

Given Input Data is 297, 335, 50, 218

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 335 is 5 x 67

Prime Factorization of 50 is 2 x 5 x 5

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(297, 335) = 99495

GCD(297, 335) = ( 297 x 335 ) / 99495

GCD(297, 335) = 99495 / 99495

GCD(297, 335) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 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 297, 335, 50, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 375, 47, 313
• GCD of 452, 906, 43, 714
• GCD of 220, 264, 74, 928
• GCD of 921, 425, 14, 423
• GCD of 332, 882, 78, 924

1. What is the GCD of 297, 335, 50, 218?

GCD of 297, 335, 50, 218 is 1

2. Where do I get the detailed procedure to find GCD of 297, 335, 50, 218?

You can find a detailed procedure to find GCD of 297, 335, 50, 218 on our page.

3. How to find GCD of 297, 335, 50, 218 on a calculator?

You can find the GCD of 297, 335, 50, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.