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GCD of 999, 871, 370, 288 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, 871, 370, 288 quickly. Get the easiest ways to solve the greatest common divisor of 999, 871, 370, 288 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 999, 871, 370, 288 with Factoring?

Given Input numbers are 999, 871, 370, 288

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 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288


GCD of numbers is the greatest common divisor

So, the GCD (999, 871, 370, 288) = 1.

Find GCD of 999, 871, 370, 288 using Prime Factorization

Given numbers are 999, 871, 370, 288

The list of prime factors of all numbers are

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

Prime factors of 871 are 13 x 67

Prime factors of 370 are 2 x 5 x 37

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Steps to Calculate GCD of 999, 871, 370, 288 using LCM Formula

Given numbers are 999, 871, 370, 288

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

Apply this formula for all numbers.

Step1:

LCM(999, 871) = 870129

GCD(999, 871) = ( 999 x 871 ) / 870129

= 999 / 871

= 999


Step2:

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

= 1 / 370

= 1


Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1


So, Greatest Common Divisor of 999, 871, 370, 288 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 999, 871, 370, 288

Given numbers are 999, 871, 370, 288
The greatest common divisor of numbers 999, 871, 370, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 999, 871, 370, 288 is 1.

FAQs on GCD of 999, 871, 370, 288 Calculator

1. What is the GCD of 999, 871, 370, 288?

GCD of given numbers 999, 871, 370, 288 is 1


2. How to calculate the greatest common divisor of 999, 871, 370, 288?

We can find the highest common divisor of 999, 871, 370, 288 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, 871, 370, 288 i.e 1.


3. How can I use the GCD of 999, 871, 370, 288Calculator?

Out the numbers 999, 871, 370, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.