GCD of 543, 208, 716, 489 Calculator

Given Input numbers are 543, 208, 716, 489

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 543, 208, 716, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 208, 716, 489 is 1.

Therefore, GCD of numbers 543, 208, 716, 489 is 1

Given Input Data is 543, 208, 716, 489

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 489 is 3 x 163

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, 208) = 112944

GCD(543, 208) = ( 543 x 208 ) / 112944

GCD(543, 208) = 112944 / 112944

GCD(543, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 543, 208, 716, 489 is 1

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1. What is the GCD of 543, 208, 716, 489?

GCD of 543, 208, 716, 489 is 1

2. Where do I get the detailed procedure to find GCD of 543, 208, 716, 489?

You can find a detailed procedure to find GCD of 543, 208, 716, 489 on our page.

3. How to find GCD of 543, 208, 716, 489 on a calculator?

You can find the GCD of 543, 208, 716, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.