GCD of 825, 527, 432 Calculator

Given Input numbers are 825, 527, 432

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

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

Greatest Common Divisior

We found the divisors of 825, 527, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 527, 432 is 1.

Therefore, GCD of numbers 825, 527, 432 is 1

Given Input Data is 825, 527, 432

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 527 is 17 x 31

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

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(825, 527) = 434775

GCD(825, 527) = ( 825 x 527 ) / 434775

GCD(825, 527) = 434775 / 434775

GCD(825, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 825, 527, 432 is 1

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1. What is the GCD of 825, 527, 432?

GCD of 825, 527, 432 is 1

2. Where do I get the detailed procedure to find GCD of 825, 527, 432?

You can find a detailed procedure to find GCD of 825, 527, 432 on our page.

3. How to find GCD of 825, 527, 432 on a calculator?

You can find the GCD of 825, 527, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.