GCD of 543, 387, 666 Calculator

Given Input numbers are 543, 387, 666

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 543, 387, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 387, 666 is 3.

Therefore, GCD of numbers 543, 387, 666 is 3

Given Input Data is 543, 387, 666

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 666 is 2 x 3 x 3 x 37

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 387) = 70047

GCD(543, 387) = ( 543 x 387 ) / 70047

GCD(543, 387) = 210141 / 70047

GCD(543, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 666

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

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

GCD(3, 666) = 1998 / 666

GCD(3, 666) = 3

GCD of 543, 387, 666 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 345, 658
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• GCD of 200, 415, 447
• GCD of 640, 737, 590
• GCD of 946, 165, 964

1. What is the GCD of 543, 387, 666?

GCD of 543, 387, 666 is 3

2. Where do I get the detailed procedure to find GCD of 543, 387, 666?

You can find a detailed procedure to find GCD of 543, 387, 666 on our page.

3. How to find GCD of 543, 387, 666 on a calculator?

You can find the GCD of 543, 387, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.