GCD of 546, 388, 84 Calculator

Given Input numbers are 546, 388, 84

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 546, 388, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 388, 84 is 2.

Therefore, GCD of numbers 546, 388, 84 is 2

Given Input Data is 546, 388, 84

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 84 is 2 x 2 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(546, 388) = 105924

GCD(546, 388) = ( 546 x 388 ) / 105924

GCD(546, 388) = 211848 / 105924

GCD(546, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

GCD of 546, 388, 84 is 2

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1. What is the GCD of 546, 388, 84?

GCD of 546, 388, 84 is 2

2. Where do I get the detailed procedure to find GCD of 546, 388, 84?

You can find a detailed procedure to find GCD of 546, 388, 84 on our page.

3. How to find GCD of 546, 388, 84 on a calculator?

You can find the GCD of 546, 388, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.