GCD of 14, 432, 253, 667 Calculator

Given Input numbers are 14, 432, 253, 667

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 14, 432, 253, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 432, 253, 667 is 1.

Therefore, GCD of numbers 14, 432, 253, 667 is 1

Given Input Data is 14, 432, 253, 667

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 253 is 11 x 23

Prime Factorization of 667 is 23 x 29

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(14, 432) = 3024

GCD(14, 432) = ( 14 x 432 ) / 3024

GCD(14, 432) = 6048 / 3024

GCD(14, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 14, 432, 253, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 824, 989, 788
• GCD of 18, 820, 295, 503
• GCD of 88, 729, 338, 771
• GCD of 17, 753, 846, 187
• GCD of 82, 389, 334, 428

1. What is the GCD of 14, 432, 253, 667?

GCD of 14, 432, 253, 667 is 1

2. Where do I get the detailed procedure to find GCD of 14, 432, 253, 667?

You can find a detailed procedure to find GCD of 14, 432, 253, 667 on our page.

3. How to find GCD of 14, 432, 253, 667 on a calculator?

You can find the GCD of 14, 432, 253, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.