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GCD of 432, 313, 986, 904 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, 313, 986, 904 quickly. Get the easiest ways to solve the greatest common divisor of 432, 313, 986, 904 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 313, 986, 904 with Factoring?

Given Input numbers are 432, 313, 986, 904

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904


GCD of numbers is the greatest common divisor

So, the GCD (432, 313, 986, 904) = 1.

Find GCD of 432, 313, 986, 904 using Prime Factorization

Given numbers are 432, 313, 986, 904

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 313 are 313

Prime factors of 986 are 2 x 17 x 29

Prime factors of 904 are 2 x 2 x 2 x 113

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

Steps to Calculate GCD of 432, 313, 986, 904 using LCM Formula

Given numbers are 432, 313, 986, 904

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

Apply this formula for all numbers.

Step1:

LCM(432, 313) = 135216

GCD(432, 313) = ( 432 x 313 ) / 135216

= 432 / 313

= 432


Step2:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1


Step3:

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

= 1 / 904

= 1


So, Greatest Common Divisor of 432, 313, 986, 904 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 313, 986, 904

Given numbers are 432, 313, 986, 904
The greatest common divisor of numbers 432, 313, 986, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 313, 986, 904 is 1.

FAQs on GCD of 432, 313, 986, 904 Calculator

1. What is the GCD of 432, 313, 986, 904?

GCD of given numbers 432, 313, 986, 904 is 1


2. How to calculate the greatest common divisor of 432, 313, 986, 904?

We can find the highest common divisor of 432, 313, 986, 904 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, 313, 986, 904 i.e 1.


3. How can I use the GCD of 432, 313, 986, 904Calculator?

Out the numbers 432, 313, 986, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.