GCD of 533, 542, 14, 553 Calculator

Given Input numbers are 533, 542, 14, 553

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 14

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

1, 2, 7, 14

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 533, 542, 14, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 542, 14, 553 is 1.

Therefore, GCD of numbers 533, 542, 14, 553 is 1

Given Input Data is 533, 542, 14, 553

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 542 is 2 x 271

Prime Factorization of 14 is 2 x 7

Prime Factorization of 553 is 7 x 79

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(533, 542) = 288886

GCD(533, 542) = ( 533 x 542 ) / 288886

GCD(533, 542) = 288886 / 288886

GCD(533, 542) = 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 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 533, 542, 14, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 854, 71, 506
• GCD of 916, 538, 21, 490
• GCD of 253, 212, 13, 882
• GCD of 168, 894, 39, 248
• GCD of 985, 751, 10, 219

1. What is the GCD of 533, 542, 14, 553?

GCD of 533, 542, 14, 553 is 1

2. Where do I get the detailed procedure to find GCD of 533, 542, 14, 553?

You can find a detailed procedure to find GCD of 533, 542, 14, 553 on our page.

3. How to find GCD of 533, 542, 14, 553 on a calculator?

You can find the GCD of 533, 542, 14, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.