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GCD of 432, 242, 902, 585 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, 242, 902, 585 quickly. Get the easiest ways to solve the greatest common divisor of 432, 242, 902, 585 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 242, 902, 585 with Factoring?

Given Input numbers are 432, 242, 902, 585

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585


GCD of numbers is the greatest common divisor

So, the GCD (432, 242, 902, 585) = 1.

Find GCD of 432, 242, 902, 585 using Prime Factorization

Given numbers are 432, 242, 902, 585

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 242 are 2 x 11 x 11

Prime factors of 902 are 2 x 11 x 41

Prime factors of 585 are 3 x 3 x 5 x 13

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

Steps to Calculate GCD of 432, 242, 902, 585 using LCM Formula

Given numbers are 432, 242, 902, 585

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

Apply this formula for all numbers.

Step1:

LCM(432, 242) = 52272

GCD(432, 242) = ( 432 x 242 ) / 52272

= 432 / 242

= 432


Step2:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2


Step3:

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

= 2 / 585

= 2


So, Greatest Common Divisor of 432, 242, 902, 585 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 242, 902, 585

Given numbers are 432, 242, 902, 585
The greatest common divisor of numbers 432, 242, 902, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 242, 902, 585 is 1.

FAQs on GCD of 432, 242, 902, 585 Calculator

1. What is the GCD of 432, 242, 902, 585?

GCD of given numbers 432, 242, 902, 585 is 1


2. How to calculate the greatest common divisor of 432, 242, 902, 585?

We can find the highest common divisor of 432, 242, 902, 585 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, 242, 902, 585 i.e 1.


3. How can I use the GCD of 432, 242, 902, 585Calculator?

Out the numbers 432, 242, 902, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.