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GCD of 565, 510, 27, 432 Calculator

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


Online GCD Calculator is useful to find the GCD of 565, 510, 27, 432 quickly. Get the easiest ways to solve the greatest common divisor of 565, 510, 27, 432 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 565, 510, 27, 432 with Factoring?

Given Input numbers are 565, 510, 27, 432

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

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


GCD of numbers is the greatest common divisor

So, the GCD (565, 510, 27, 432) = 1.

Find GCD of 565, 510, 27, 432 using Prime Factorization

Given numbers are 565, 510, 27, 432

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 27 are 3 x 3 x 3

Prime factors of 432 are 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

Steps to Calculate GCD of 565, 510, 27, 432 using LCM Formula

Given numbers are 565, 510, 27, 432

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

Apply this formula for all numbers.

Step1:

LCM(565, 510) = 57630

GCD(565, 510) = ( 565 x 510 ) / 57630

= 565 / 510

= 565


Step2:

LCM(5, 27) = 135

GCD(5, 27) = ( 5 x 27 ) / 135

= 5 / 27

= 5


Step3:

LCM(1, 432) = 432

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

= 1 / 432

= 1


So, Greatest Common Divisor of 565, 510, 27, 432 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 565, 510, 27, 432

Given numbers are 565, 510, 27, 432
The greatest common divisor of numbers 565, 510, 27, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 510, 27, 432 is 1.

FAQs on GCD of 565, 510, 27, 432 Calculator

1. What is the GCD of 565, 510, 27, 432?

GCD of given numbers 565, 510, 27, 432 is 1


2. How to calculate the greatest common divisor of 565, 510, 27, 432?

We can find the highest common divisor of 565, 510, 27, 432 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 565, 510, 27, 432 i.e 1.


3. How can I use the GCD of 565, 510, 27, 432Calculator?

Out the numbers 565, 510, 27, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.