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GCD of 168, 213, 431, 999 Calculator

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


Online GCD Calculator is useful to find the GCD of 168, 213, 431, 999 quickly. Get the easiest ways to solve the greatest common divisor of 168, 213, 431, 999 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 168, 213, 431, 999 with Factoring?

Given Input numbers are 168, 213, 431, 999

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

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 431 :

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

1, 431

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999


GCD of numbers is the greatest common divisor

So, the GCD (168, 213, 431, 999) = 1.

Find GCD of 168, 213, 431, 999 using Prime Factorization

Given numbers are 168, 213, 431, 999

The list of prime factors of all numbers are

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

Prime factors of 213 are 3 x 71

Prime factors of 431 are 431

Prime factors of 999 are 3 x 3 x 3 x 37

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

Steps to Calculate GCD of 168, 213, 431, 999 using LCM Formula

Given numbers are 168, 213, 431, 999

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

Apply this formula for all numbers.

Step1:

LCM(168, 213) = 11928

GCD(168, 213) = ( 168 x 213 ) / 11928

= 168 / 213

= 168


Step2:

LCM(3, 431) = 1293

GCD(3, 431) = ( 3 x 431 ) / 1293

= 3 / 431

= 3


Step3:

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

= 1 / 999

= 1


So, Greatest Common Divisor of 168, 213, 431, 999 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 168, 213, 431, 999

Given numbers are 168, 213, 431, 999
The greatest common divisor of numbers 168, 213, 431, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 213, 431, 999 is 1.

FAQs on GCD of 168, 213, 431, 999 Calculator

1. What is the GCD of 168, 213, 431, 999?

GCD of given numbers 168, 213, 431, 999 is 1


2. How to calculate the greatest common divisor of 168, 213, 431, 999?

We can find the highest common divisor of 168, 213, 431, 999 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 168, 213, 431, 999 i.e 1.


3. How can I use the GCD of 168, 213, 431, 999Calculator?

Out the numbers 168, 213, 431, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.