GCD of 432, 120, 86, 503 Calculator

Given Input numbers are 432, 120, 86, 503

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 432, 120, 86, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 120, 86, 503 is 1.

Therefore, GCD of numbers 432, 120, 86, 503 is 1

Given Input Data is 432, 120, 86, 503

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 86 is 2 x 43

Prime Factorization of 503 is 503

The above numbers do not have any common prime factor. So GCD is 1

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, 120) = 2160

GCD(432, 120) = ( 432 x 120 ) / 2160

GCD(432, 120) = 51840 / 2160

GCD(432, 120) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 86

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

LCM(24, 86) = 1032

GCD(24, 86) = ( 24 x 86 ) / 1032

GCD(24, 86) = 2064 / 1032

GCD(24, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 503

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

LCM(2, 503) = 1006

GCD(2, 503) = ( 2 x 503 ) / 1006

GCD(2, 503) = 1006 / 1006

GCD(2, 503) = 1

GCD of 432, 120, 86, 503 is 1

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• GCD of 886, 760, 67, 163
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1. What is the GCD of 432, 120, 86, 503?

GCD of 432, 120, 86, 503 is 1

2. Where do I get the detailed procedure to find GCD of 432, 120, 86, 503?

You can find a detailed procedure to find GCD of 432, 120, 86, 503 on our page.

3. How to find GCD of 432, 120, 86, 503 on a calculator?

You can find the GCD of 432, 120, 86, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.