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GCD of 180, 336, 431, 168 Calculator

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


Online GCD Calculator is useful to find the GCD of 180, 336, 431, 168 quickly. Get the easiest ways to solve the greatest common divisor of 180, 336, 431, 168 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 336, 431, 168 with Factoring?

Given Input numbers are 180, 336, 431, 168

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

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 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168


GCD of numbers is the greatest common divisor

So, the GCD (180, 336, 431, 168) = 1.

Find GCD of 180, 336, 431, 168 using Prime Factorization

Given numbers are 180, 336, 431, 168

The list of prime factors of all numbers are

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

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 431 are 431

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

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

Steps to Calculate GCD of 180, 336, 431, 168 using LCM Formula

Given numbers are 180, 336, 431, 168

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

Apply this formula for all numbers.

Step1:

LCM(180, 336) = 5040

GCD(180, 336) = ( 180 x 336 ) / 5040

= 180 / 336

= 180


Step2:

LCM(12, 431) = 5172

GCD(12, 431) = ( 12 x 431 ) / 5172

= 12 / 431

= 12


Step3:

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

= 1 / 168

= 1


So, Greatest Common Divisor of 180, 336, 431, 168 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 336, 431, 168

Given numbers are 180, 336, 431, 168
The greatest common divisor of numbers 180, 336, 431, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 336, 431, 168 is 1.

FAQs on GCD of 180, 336, 431, 168 Calculator

1. What is the GCD of 180, 336, 431, 168?

GCD of given numbers 180, 336, 431, 168 is 1


2. How to calculate the greatest common divisor of 180, 336, 431, 168?

We can find the highest common divisor of 180, 336, 431, 168 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 180, 336, 431, 168 i.e 1.


3. How can I use the GCD of 180, 336, 431, 168Calculator?

Out the numbers 180, 336, 431, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.