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GCD of 999, 354, 297, 442 Calculator

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


Online GCD Calculator is useful to find the GCD of 999, 354, 297, 442 quickly. Get the easiest ways to solve the greatest common divisor of 999, 354, 297, 442 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 354, 297, 442 with Factoring?

Given Input numbers are 999, 354, 297, 442

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

Divisors of 999 :

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

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (999, 354, 297, 442) = 1.

Find GCD of 999, 354, 297, 442 using Prime Factorization

Given numbers are 999, 354, 297, 442

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 442 are 2 x 13 x 17

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

Steps to Calculate GCD of 999, 354, 297, 442 using LCM Formula

Given numbers are 999, 354, 297, 442

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

Apply this formula for all numbers.

Step1:

LCM(999, 354) = 117882

GCD(999, 354) = ( 999 x 354 ) / 117882

= 999 / 354

= 999


Step2:

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

= 3 / 297

= 3


Step3:

LCM(3, 442) = 1326

GCD(3, 442) = ( 3 x 442 ) / 1326

= 3 / 442

= 3


So, Greatest Common Divisor of 999, 354, 297, 442 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 354, 297, 442

Given numbers are 999, 354, 297, 442
The greatest common divisor of numbers 999, 354, 297, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 354, 297, 442 is 1.

FAQs on GCD of 999, 354, 297, 442 Calculator

1. What is the GCD of 999, 354, 297, 442?

GCD of given numbers 999, 354, 297, 442 is 1


2. How to calculate the greatest common divisor of 999, 354, 297, 442?

We can find the highest common divisor of 999, 354, 297, 442 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 999, 354, 297, 442 i.e 1.


3. How can I use the GCD of 999, 354, 297, 442Calculator?

Out the numbers 999, 354, 297, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.