GCD of 432, 630, 387 Calculator

Given Input numbers are 432, 630, 387

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

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 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 432, 630, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 630, 387 is 9.

Therefore, GCD of numbers 432, 630, 387 is 9

Given Input Data is 432, 630, 387

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 387 is 3 x 3 x 43

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(432, 630) = 15120

GCD(432, 630) = ( 432 x 630 ) / 15120

GCD(432, 630) = 272160 / 15120

GCD(432, 630) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 387

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

LCM(18, 387) = 774

GCD(18, 387) = ( 18 x 387 ) / 774

GCD(18, 387) = 6966 / 774

GCD(18, 387) = 9

GCD of 432, 630, 387 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 944, 601
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• GCD of 453, 215, 728
• GCD of 811, 810, 369
• GCD of 412, 361, 127

1. What is the GCD of 432, 630, 387?

GCD of 432, 630, 387 is 9

2. Where do I get the detailed procedure to find GCD of 432, 630, 387?

You can find a detailed procedure to find GCD of 432, 630, 387 on our page.

3. How to find GCD of 432, 630, 387 on a calculator?

You can find the GCD of 432, 630, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.