GCD of 684, 549, 297, 768 Calculator

Given Input numbers are 684, 549, 297, 768

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 684, 549, 297, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 549, 297, 768 is 3.

Therefore, GCD of numbers 684, 549, 297, 768 is 3

Given Input Data is 684, 549, 297, 768

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(684, 549) = 41724

GCD(684, 549) = ( 684 x 549 ) / 41724

GCD(684, 549) = 375516 / 41724

GCD(684, 549) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 297

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

LCM(9, 297) = 297

GCD(9, 297) = ( 9 x 297 ) / 297

GCD(9, 297) = 2673 / 297

GCD(9, 297) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 768

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

LCM(9, 768) = 2304

GCD(9, 768) = ( 9 x 768 ) / 2304

GCD(9, 768) = 6912 / 2304

GCD(9, 768) = 3

GCD of 684, 549, 297, 768 is 3

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1. What is the GCD of 684, 549, 297, 768?

GCD of 684, 549, 297, 768 is 3

2. Where do I get the detailed procedure to find GCD of 684, 549, 297, 768?

You can find a detailed procedure to find GCD of 684, 549, 297, 768 on our page.

3. How to find GCD of 684, 549, 297, 768 on a calculator?

You can find the GCD of 684, 549, 297, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.