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GCD of 873, 276, 789, 471 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, 276, 789, 471 quickly. Get the easiest ways to solve the greatest common divisor of 873, 276, 789, 471 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 873, 276, 789, 471 with Factoring?

Given Input numbers are 873, 276, 789, 471

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471


GCD of numbers is the greatest common divisor

So, the GCD (873, 276, 789, 471) = 3.

Find GCD of 873, 276, 789, 471 using Prime Factorization

Given numbers are 873, 276, 789, 471

The list of prime factors of all numbers are

Prime factors of 873 are 3 x 3 x 97

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 789 are 3 x 263

Prime factors of 471 are 3 x 157

The highest common occurrence is 31

Therefore, GCD of 873, 276, 789, 471 is 3.

Steps to Calculate GCD of 873, 276, 789, 471 using LCM Formula

Given numbers are 873, 276, 789, 471

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

Apply this formula for all numbers.

Step1:

LCM(873, 276) = 80316

GCD(873, 276) = ( 873 x 276 ) / 80316

= 873 / 276

= 873


Step2:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3


Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3


So, Greatest Common Divisor of 873, 276, 789, 471 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 873, 276, 789, 471

Given numbers are 873, 276, 789, 471
The greatest common divisor of numbers 873, 276, 789, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 873, 276, 789, 471 is 3.

FAQs on GCD of 873, 276, 789, 471 Calculator

1. What is the GCD of 873, 276, 789, 471?

GCD of given numbers 873, 276, 789, 471 is 3


2. How to calculate the greatest common divisor of 873, 276, 789, 471?

We can find the highest common divisor of 873, 276, 789, 471 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, 276, 789, 471 i.e 3.


3. How can I use the GCD of 873, 276, 789, 471Calculator?

Out the numbers 873, 276, 789, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.