GCD of 549, 259, 65, 242 Calculator

Given Input numbers are 549, 259, 65, 242

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

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 549, 259, 65, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 259, 65, 242 is 1.

Therefore, GCD of numbers 549, 259, 65, 242 is 1

Given Input Data is 549, 259, 65, 242

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 259 is 7 x 37

Prime Factorization of 65 is 5 x 13

Prime Factorization of 242 is 2 x 11 x 11

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(549, 259) = 142191

GCD(549, 259) = ( 549 x 259 ) / 142191

GCD(549, 259) = 142191 / 142191

GCD(549, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 549, 259, 65, 242 is 1

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1. What is the GCD of 549, 259, 65, 242?

GCD of 549, 259, 65, 242 is 1

2. Where do I get the detailed procedure to find GCD of 549, 259, 65, 242?

You can find a detailed procedure to find GCD of 549, 259, 65, 242 on our page.

3. How to find GCD of 549, 259, 65, 242 on a calculator?

You can find the GCD of 549, 259, 65, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.