GCD of 543, 539, 15, 242 Calculator

Given Input numbers are 543, 539, 15, 242

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

Divisors of 543

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

1, 3, 181, 543

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 543, 539, 15, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 539, 15, 242 is 1.

Therefore, GCD of numbers 543, 539, 15, 242 is 1

Given Input Data is 543, 539, 15, 242

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 15 is 3 x 5

Prime Factorization of 242 is 2 x 11 x 11

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(543, 539) = 292677

GCD(543, 539) = ( 543 x 539 ) / 292677

GCD(543, 539) = 292677 / 292677

GCD(543, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 543, 539, 15, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 350, 92, 739
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• GCD of 773, 871, 14, 462
• GCD of 318, 792, 32, 380
• GCD of 595, 424, 20, 472

1. What is the GCD of 543, 539, 15, 242?

GCD of 543, 539, 15, 242 is 1

2. Where do I get the detailed procedure to find GCD of 543, 539, 15, 242?

You can find a detailed procedure to find GCD of 543, 539, 15, 242 on our page.

3. How to find GCD of 543, 539, 15, 242 on a calculator?

You can find the GCD of 543, 539, 15, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.