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GCD of 873, 231, 15, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 873, 231, 15, 336 quickly. Get the easiest ways to solve the greatest common divisor of 873, 231, 15, 336 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 873, 231, 15, 336 with Factoring?

Given Input numbers are 873, 231, 15, 336

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

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

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


GCD of numbers is the greatest common divisor

So, the GCD (873, 231, 15, 336) = 3.

Find GCD of 873, 231, 15, 336 using Prime Factorization

Given numbers are 873, 231, 15, 336

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 231 are 3 x 7 x 11

Prime factors of 15 are 3 x 5

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

The highest common occurrence is 31

Therefore, GCD of 873, 231, 15, 336 is 3.

Steps to Calculate GCD of 873, 231, 15, 336 using LCM Formula

Given numbers are 873, 231, 15, 336

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

Apply this formula for all numbers.

Step1:

LCM(873, 231) = 67221

GCD(873, 231) = ( 873 x 231 ) / 67221

= 873 / 231

= 873


Step2:

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

= 3 / 15

= 3


Step3:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3


So, Greatest Common Divisor of 873, 231, 15, 336 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 873, 231, 15, 336

Given numbers are 873, 231, 15, 336
The greatest common divisor of numbers 873, 231, 15, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 231, 15, 336 is 3.

FAQs on GCD of 873, 231, 15, 336 Calculator

1. What is the GCD of 873, 231, 15, 336?

GCD of given numbers 873, 231, 15, 336 is 3


2. How to calculate the greatest common divisor of 873, 231, 15, 336?

We can find the highest common divisor of 873, 231, 15, 336 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 873, 231, 15, 336 i.e 3.


3. How can I use the GCD of 873, 231, 15, 336Calculator?

Out the numbers 873, 231, 15, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.