GCD of 249, 456, 49, 306 Calculator

Given Input numbers are 249, 456, 49, 306

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

Divisors of 249

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

1, 3, 83, 249

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 49

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

1, 7, 49

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 249, 456, 49, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 456, 49, 306 is 1.

Therefore, GCD of numbers 249, 456, 49, 306 is 1

Given Input Data is 249, 456, 49, 306

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 49 is 7 x 7

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(249, 456) = 37848

GCD(249, 456) = ( 249 x 456 ) / 37848

GCD(249, 456) = 113544 / 37848

GCD(249, 456) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 249, 456, 49, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 106, 44, 678
• GCD of 307, 238, 48, 742
• GCD of 823, 788, 54, 504
• GCD of 404, 346, 42, 985
• GCD of 106, 139, 90, 608

1. What is the GCD of 249, 456, 49, 306?

GCD of 249, 456, 49, 306 is 1

2. Where do I get the detailed procedure to find GCD of 249, 456, 49, 306?

You can find a detailed procedure to find GCD of 249, 456, 49, 306 on our page.

3. How to find GCD of 249, 456, 49, 306 on a calculator?

You can find the GCD of 249, 456, 49, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.