GCD of 264, 209, 49, 213 Calculator

Given Input numbers are 264, 209, 49, 213

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 264, 209, 49, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 209, 49, 213 is 1.

Therefore, GCD of numbers 264, 209, 49, 213 is 1

Given Input Data is 264, 209, 49, 213

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 209 is 11 x 19

Prime Factorization of 49 is 7 x 7

Prime Factorization of 213 is 3 x 71

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(264, 209) = 5016

GCD(264, 209) = ( 264 x 209 ) / 5016

GCD(264, 209) = 55176 / 5016

GCD(264, 209) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 49

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

LCM(11, 49) = 539

GCD(11, 49) = ( 11 x 49 ) / 539

GCD(11, 49) = 539 / 539

GCD(11, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 264, 209, 49, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 393, 16, 523
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• GCD of 765, 904, 20, 465

1. What is the GCD of 264, 209, 49, 213?

GCD of 264, 209, 49, 213 is 1

2. Where do I get the detailed procedure to find GCD of 264, 209, 49, 213?

You can find a detailed procedure to find GCD of 264, 209, 49, 213 on our page.

3. How to find GCD of 264, 209, 49, 213 on a calculator?

You can find the GCD of 264, 209, 49, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.