GCD of 353, 543, 14, 324 Calculator

Given Input numbers are 353, 543, 14, 324

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 14

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

1, 2, 7, 14

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 353, 543, 14, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 543, 14, 324 is 1.

Therefore, GCD of numbers 353, 543, 14, 324 is 1

Given Input Data is 353, 543, 14, 324

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

Prime Factorization of 353 is 353

Prime Factorization of 543 is 3 x 181

Prime Factorization of 14 is 2 x 7

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(353, 543) = 191679

GCD(353, 543) = ( 353 x 543 ) / 191679

GCD(353, 543) = 191679 / 191679

GCD(353, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 353, 543, 14, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 815, 41, 954
• GCD of 897, 552, 10, 163
• GCD of 226, 751, 29, 496
• GCD of 368, 563, 23, 767
• GCD of 650, 913, 70, 394

1. What is the GCD of 353, 543, 14, 324?

GCD of 353, 543, 14, 324 is 1

2. Where do I get the detailed procedure to find GCD of 353, 543, 14, 324?

You can find a detailed procedure to find GCD of 353, 543, 14, 324 on our page.

3. How to find GCD of 353, 543, 14, 324 on a calculator?

You can find the GCD of 353, 543, 14, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.