GCD of 84, 486, 756, 336 Calculator

Given Input numbers are 84, 486, 756, 336

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

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 84, 486, 756, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 486, 756, 336 is 6.

Therefore, GCD of numbers 84, 486, 756, 336 is 6

Given Input Data is 84, 486, 756, 336

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

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(84, 486) = 6804

GCD(84, 486) = ( 84 x 486 ) / 6804

GCD(84, 486) = 40824 / 6804

GCD(84, 486) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 756

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

LCM(6, 756) = 756

GCD(6, 756) = ( 6 x 756 ) / 756

GCD(6, 756) = 4536 / 756

GCD(6, 756) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 336

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

LCM(6, 336) = 336

GCD(6, 336) = ( 6 x 336 ) / 336

GCD(6, 336) = 2016 / 336

GCD(6, 336) = 6

GCD of 84, 486, 756, 336 is 6

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1. What is the GCD of 84, 486, 756, 336?

GCD of 84, 486, 756, 336 is 6

2. Where do I get the detailed procedure to find GCD of 84, 486, 756, 336?

You can find a detailed procedure to find GCD of 84, 486, 756, 336 on our page.

3. How to find GCD of 84, 486, 756, 336 on a calculator?

You can find the GCD of 84, 486, 756, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.