GCD of 249, 471, 24, 342 Calculator

Given Input numbers are 249, 471, 24, 342

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 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 249, 471, 24, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 471, 24, 342 is 3.

Therefore, GCD of numbers 249, 471, 24, 342 is 3

Given Input Data is 249, 471, 24, 342

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 471 is 3 x 157

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 342 is 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 471) = 39093

GCD(249, 471) = ( 249 x 471 ) / 39093

GCD(249, 471) = 117279 / 39093

GCD(249, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 342

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

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

GCD(3, 342) = 1026 / 342

GCD(3, 342) = 3

GCD of 249, 471, 24, 342 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 602, 28, 256
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• GCD of 934, 164, 51, 561
• GCD of 406, 598, 68, 456
• GCD of 325, 371, 69, 101

1. What is the GCD of 249, 471, 24, 342?

GCD of 249, 471, 24, 342 is 3

2. Where do I get the detailed procedure to find GCD of 249, 471, 24, 342?

You can find a detailed procedure to find GCD of 249, 471, 24, 342 on our page.

3. How to find GCD of 249, 471, 24, 342 on a calculator?

You can find the GCD of 249, 471, 24, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.