GCD of 208, 249, 53, 258 Calculator

Given Input numbers are 208, 249, 53, 258

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 208, 249, 53, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 249, 53, 258 is 1.

Therefore, GCD of numbers 208, 249, 53, 258 is 1

Given Input Data is 208, 249, 53, 258

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 249 is 3 x 83

Prime Factorization of 53 is 53

Prime Factorization of 258 is 2 x 3 x 43

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(208, 249) = 51792

GCD(208, 249) = ( 208 x 249 ) / 51792

GCD(208, 249) = 51792 / 51792

GCD(208, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 208, 249, 53, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 210, 44, 895
• GCD of 955, 386, 25, 159
• GCD of 339, 226, 81, 965
• GCD of 135, 534, 68, 966
• GCD of 890, 227, 65, 622

1. What is the GCD of 208, 249, 53, 258?

GCD of 208, 249, 53, 258 is 1

2. Where do I get the detailed procedure to find GCD of 208, 249, 53, 258?

You can find a detailed procedure to find GCD of 208, 249, 53, 258 on our page.

3. How to find GCD of 208, 249, 53, 258 on a calculator?

You can find the GCD of 208, 249, 53, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.