GCD of 663, 270, 78, 486 Calculator

Given Input numbers are 663, 270, 78, 486

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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

Greatest Common Divisior

We found the divisors of 663, 270, 78, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 270, 78, 486 is 3.

Therefore, GCD of numbers 663, 270, 78, 486 is 3

Given Input Data is 663, 270, 78, 486

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

Prime Factorization of 663 is 3 x 13 x 17

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 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(663, 270) = 59670

GCD(663, 270) = ( 663 x 270 ) / 59670

GCD(663, 270) = 179010 / 59670

GCD(663, 270) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 486

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

LCM(3, 486) = 486

GCD(3, 486) = ( 3 x 486 ) / 486

GCD(3, 486) = 1458 / 486

GCD(3, 486) = 3

GCD of 663, 270, 78, 486 is 3

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• GCD of 470, 299, 52, 525
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• GCD of 955, 234, 50, 673

1. What is the GCD of 663, 270, 78, 486?

GCD of 663, 270, 78, 486 is 3

2. Where do I get the detailed procedure to find GCD of 663, 270, 78, 486?

You can find a detailed procedure to find GCD of 663, 270, 78, 486 on our page.

3. How to find GCD of 663, 270, 78, 486 on a calculator?

You can find the GCD of 663, 270, 78, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.