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GCD of 432, 468, 736, 489 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, 468, 736, 489 quickly. Get the easiest ways to solve the greatest common divisor of 432, 468, 736, 489 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 468, 736, 489 with Factoring?

Given Input numbers are 432, 468, 736, 489

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489


GCD of numbers is the greatest common divisor

So, the GCD (432, 468, 736, 489) = 1.

Find GCD of 432, 468, 736, 489 using Prime Factorization

Given numbers are 432, 468, 736, 489

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 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 489 are 3 x 163

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

Steps to Calculate GCD of 432, 468, 736, 489 using LCM Formula

Given numbers are 432, 468, 736, 489

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

Apply this formula for all numbers.

Step1:

LCM(432, 468) = 5616

GCD(432, 468) = ( 432 x 468 ) / 5616

= 432 / 468

= 432


Step2:

LCM(36, 736) = 6624

GCD(36, 736) = ( 36 x 736 ) / 6624

= 36 / 736

= 36


Step3:

LCM(4, 489) = 1956

GCD(4, 489) = ( 4 x 489 ) / 1956

= 4 / 489

= 4


So, Greatest Common Divisor of 432, 468, 736, 489 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 468, 736, 489

Given numbers are 432, 468, 736, 489
The greatest common divisor of numbers 432, 468, 736, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 468, 736, 489 is 1.

FAQs on GCD of 432, 468, 736, 489 Calculator

1. What is the GCD of 432, 468, 736, 489?

GCD of given numbers 432, 468, 736, 489 is 1


2. How to calculate the greatest common divisor of 432, 468, 736, 489?

We can find the highest common divisor of 432, 468, 736, 489 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, 468, 736, 489 i.e 1.


3. How can I use the GCD of 432, 468, 736, 489Calculator?

Out the numbers 432, 468, 736, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.