GCD of 648, 543, 894 Calculator

Given Input numbers are 648, 543, 894

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 543

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

1, 3, 181, 543

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 648, 543, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 543, 894 is 3.

Therefore, GCD of numbers 648, 543, 894 is 3

Given Input Data is 648, 543, 894

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 543 is 3 x 181

Prime Factorization of 894 is 2 x 3 x 149

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(648, 543) = 117288

GCD(648, 543) = ( 648 x 543 ) / 117288

GCD(648, 543) = 351864 / 117288

GCD(648, 543) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 894

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

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

GCD(3, 894) = 2682 / 894

GCD(3, 894) = 3

GCD of 648, 543, 894 is 3

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1. What is the GCD of 648, 543, 894?

GCD of 648, 543, 894 is 3

2. Where do I get the detailed procedure to find GCD of 648, 543, 894?

You can find a detailed procedure to find GCD of 648, 543, 894 on our page.

3. How to find GCD of 648, 543, 894 on a calculator?

You can find the GCD of 648, 543, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.