GCD of 24, 334, 495, 402 Calculator

Given Input numbers are 24, 334, 495, 402

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

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 24, 334, 495, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 334, 495, 402 is 1.

Therefore, GCD of numbers 24, 334, 495, 402 is 1

Given Input Data is 24, 334, 495, 402

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

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 402 is 2 x 3 x 67

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(24, 334) = 4008

GCD(24, 334) = ( 24 x 334 ) / 4008

GCD(24, 334) = 8016 / 4008

GCD(24, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 495

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

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

GCD(2, 495) = 990 / 990

GCD(2, 495) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 24, 334, 495, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 281, 655, 204
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• GCD of 36, 384, 247, 567
• GCD of 81, 676, 297, 359
• GCD of 22, 454, 870, 738

1. What is the GCD of 24, 334, 495, 402?

GCD of 24, 334, 495, 402 is 1

2. Where do I get the detailed procedure to find GCD of 24, 334, 495, 402?

You can find a detailed procedure to find GCD of 24, 334, 495, 402 on our page.

3. How to find GCD of 24, 334, 495, 402 on a calculator?

You can find the GCD of 24, 334, 495, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.