GCD of 408, 318, 27, 987 Calculator

Given Input numbers are 408, 318, 27, 987

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 408, 318, 27, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 318, 27, 987 is 3.

Therefore, GCD of numbers 408, 318, 27, 987 is 3

Given Input Data is 408, 318, 27, 987

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 987 is 3 x 7 x 47

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(408, 318) = 21624

GCD(408, 318) = ( 408 x 318 ) / 21624

GCD(408, 318) = 129744 / 21624

GCD(408, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 27

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

LCM(6, 27) = 54

GCD(6, 27) = ( 6 x 27 ) / 54

GCD(6, 27) = 162 / 54

GCD(6, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 987

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

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

GCD(3, 987) = 2961 / 987

GCD(3, 987) = 3

GCD of 408, 318, 27, 987 is 3

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• GCD of 231, 448, 86, 149
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• GCD of 442, 383, 18, 865

1. What is the GCD of 408, 318, 27, 987?

GCD of 408, 318, 27, 987 is 3

2. Where do I get the detailed procedure to find GCD of 408, 318, 27, 987?

You can find a detailed procedure to find GCD of 408, 318, 27, 987 on our page.

3. How to find GCD of 408, 318, 27, 987 on a calculator?

You can find the GCD of 408, 318, 27, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.