GCD of 363, 432, 987 Calculator

Given Input numbers are 363, 432, 987

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 363, 432, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 432, 987 is 3.

Therefore, GCD of numbers 363, 432, 987 is 3

Given Input Data is 363, 432, 987

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 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(363, 432) = 52272

GCD(363, 432) = ( 363 x 432 ) / 52272

GCD(363, 432) = 156816 / 52272

GCD(363, 432) = 3

Step2:

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 363, 432, 987 is 3

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1. What is the GCD of 363, 432, 987?

GCD of 363, 432, 987 is 3

2. Where do I get the detailed procedure to find GCD of 363, 432, 987?

You can find a detailed procedure to find GCD of 363, 432, 987 on our page.

3. How to find GCD of 363, 432, 987 on a calculator?

You can find the GCD of 363, 432, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.