GCD of 495, 447, 14, 402 Calculator

Given Input numbers are 495, 447, 14, 402

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

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 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 495, 447, 14, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 447, 14, 402 is 1.

Therefore, GCD of numbers 495, 447, 14, 402 is 1

Given Input Data is 495, 447, 14, 402

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

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 14 is 2 x 7

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(495, 447) = 73755

GCD(495, 447) = ( 495 x 447 ) / 73755

GCD(495, 447) = 221265 / 73755

GCD(495, 447) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 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 495, 447, 14, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 563, 58, 274
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• GCD of 618, 611, 10, 963
• GCD of 376, 249, 38, 361
• GCD of 499, 469, 96, 547

1. What is the GCD of 495, 447, 14, 402?

GCD of 495, 447, 14, 402 is 1

2. Where do I get the detailed procedure to find GCD of 495, 447, 14, 402?

You can find a detailed procedure to find GCD of 495, 447, 14, 402 on our page.

3. How to find GCD of 495, 447, 14, 402 on a calculator?

You can find the GCD of 495, 447, 14, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.