GCD of 543, 225, 871 Calculator

Given Input numbers are 543, 225, 871

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 543, 225, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 225, 871 is 1.

Therefore, GCD of numbers 543, 225, 871 is 1

Given Input Data is 543, 225, 871

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 871 is 13 x 67

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, 225) = 40725

GCD(543, 225) = ( 543 x 225 ) / 40725

GCD(543, 225) = 122175 / 40725

GCD(543, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 871

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

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

GCD(3, 871) = 2613 / 2613

GCD(3, 871) = 1

GCD of 543, 225, 871 is 1

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1. What is the GCD of 543, 225, 871?

GCD of 543, 225, 871 is 1

2. Where do I get the detailed procedure to find GCD of 543, 225, 871?

You can find a detailed procedure to find GCD of 543, 225, 871 on our page.

3. How to find GCD of 543, 225, 871 on a calculator?

You can find the GCD of 543, 225, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.