GCD of 543, 242, 289, 156 Calculator

Given Input numbers are 543, 242, 289, 156

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 242

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

1, 2, 11, 22, 121, 242

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 543, 242, 289, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 242, 289, 156 is 1.

Therefore, GCD of numbers 543, 242, 289, 156 is 1

Given Input Data is 543, 242, 289, 156

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 289 is 17 x 17

Prime Factorization of 156 is 2 x 2 x 3 x 13

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, 242) = 131406

GCD(543, 242) = ( 543 x 242 ) / 131406

GCD(543, 242) = 131406 / 131406

GCD(543, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

GCD of 543, 242, 289, 156 is 1

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1. What is the GCD of 543, 242, 289, 156?

GCD of 543, 242, 289, 156 is 1

2. Where do I get the detailed procedure to find GCD of 543, 242, 289, 156?

You can find a detailed procedure to find GCD of 543, 242, 289, 156 on our page.

3. How to find GCD of 543, 242, 289, 156 on a calculator?

You can find the GCD of 543, 242, 289, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.