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GCD of 432, 180, 530, 588 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 432, 180, 530, 588 quickly. Get the easiest ways to solve the greatest common divisor of 432, 180, 530, 588 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 180, 530, 588 with Factoring?

Given Input numbers are 432, 180, 530, 588

In the factoring method, we have to find the divisors of all numbers

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588


GCD of numbers is the greatest common divisor

So, the GCD (432, 180, 530, 588) = 2.

Find GCD of 432, 180, 530, 588 using Prime Factorization

Given numbers are 432, 180, 530, 588

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 530 are 2 x 5 x 53

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 432, 180, 530, 588 is 2.

Steps to Calculate GCD of 432, 180, 530, 588 using LCM Formula

Given numbers are 432, 180, 530, 588

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(432, 180) = 2160

GCD(432, 180) = ( 432 x 180 ) / 2160

= 432 / 180

= 432


Step2:

LCM(36, 530) = 9540

GCD(36, 530) = ( 36 x 530 ) / 9540

= 36 / 530

= 36


Step3:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2


So, Greatest Common Divisor of 432, 180, 530, 588 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 180, 530, 588

Given numbers are 432, 180, 530, 588
The greatest common divisor of numbers 432, 180, 530, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 180, 530, 588 is 2.

FAQs on GCD of 432, 180, 530, 588 Calculator

1. What is the GCD of 432, 180, 530, 588?

GCD of given numbers 432, 180, 530, 588 is 2


2. How to calculate the greatest common divisor of 432, 180, 530, 588?

We can find the highest common divisor of 432, 180, 530, 588 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 432, 180, 530, 588 i.e 2.


3. How can I use the GCD of 432, 180, 530, 588Calculator?

Out the numbers 432, 180, 530, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.