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GCD of 336, 873, 726, 291 Calculator

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


Online GCD Calculator is useful to find the GCD of 336, 873, 726, 291 quickly. Get the easiest ways to solve the greatest common divisor of 336, 873, 726, 291 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 336, 873, 726, 291 with Factoring?

Given Input numbers are 336, 873, 726, 291

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

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 873 :

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

1, 3, 9, 97, 291, 873

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291


GCD of numbers is the greatest common divisor

So, the GCD (336, 873, 726, 291) = 3.

Find GCD of 336, 873, 726, 291 using Prime Factorization

Given numbers are 336, 873, 726, 291

The list of prime factors of all numbers are

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

Prime factors of 873 are 3 x 3 x 97

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 291 are 3 x 97

The highest common occurrence is 31

Therefore, GCD of 336, 873, 726, 291 is 3.

Steps to Calculate GCD of 336, 873, 726, 291 using LCM Formula

Given numbers are 336, 873, 726, 291

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

Apply this formula for all numbers.

Step1:

LCM(336, 873) = 97776

GCD(336, 873) = ( 336 x 873 ) / 97776

= 336 / 873

= 336


Step2:

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

= 3 / 726

= 3


Step3:

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

= 3 / 291

= 3


So, Greatest Common Divisor of 336, 873, 726, 291 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 336, 873, 726, 291

Given numbers are 336, 873, 726, 291
The greatest common divisor of numbers 336, 873, 726, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 873, 726, 291 is 3.

FAQs on GCD of 336, 873, 726, 291 Calculator

1. What is the GCD of 336, 873, 726, 291?

GCD of given numbers 336, 873, 726, 291 is 3


2. How to calculate the greatest common divisor of 336, 873, 726, 291?

We can find the highest common divisor of 336, 873, 726, 291 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 336, 873, 726, 291 i.e 3.


3. How can I use the GCD of 336, 873, 726, 291Calculator?

Out the numbers 336, 873, 726, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.