GCD of 756, 270, 84, 728 Calculator

Given Input numbers are 756, 270, 84, 728

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

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 756, 270, 84, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 270, 84, 728 is 2.

Therefore, GCD of numbers 756, 270, 84, 728 is 2

Given Input Data is 756, 270, 84, 728

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

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(756, 270) = 3780

GCD(756, 270) = ( 756 x 270 ) / 3780

GCD(756, 270) = 204120 / 3780

GCD(756, 270) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 84

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

LCM(54, 84) = 756

GCD(54, 84) = ( 54 x 84 ) / 756

GCD(54, 84) = 4536 / 756

GCD(54, 84) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 728

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

LCM(6, 728) = 2184

GCD(6, 728) = ( 6 x 728 ) / 2184

GCD(6, 728) = 4368 / 2184

GCD(6, 728) = 2

GCD of 756, 270, 84, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 933, 47, 803
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• GCD of 456, 539, 35, 682

1. What is the GCD of 756, 270, 84, 728?

GCD of 756, 270, 84, 728 is 2

2. Where do I get the detailed procedure to find GCD of 756, 270, 84, 728?

You can find a detailed procedure to find GCD of 756, 270, 84, 728 on our page.

3. How to find GCD of 756, 270, 84, 728 on a calculator?

You can find the GCD of 756, 270, 84, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.