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GCD of 447, 402, 27, 831 Calculator

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


Online GCD Calculator is useful to find the GCD of 447, 402, 27, 831 quickly. Get the easiest ways to solve the greatest common divisor of 447, 402, 27, 831 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 447, 402, 27, 831 with Factoring?

Given Input numbers are 447, 402, 27, 831

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

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831


GCD of numbers is the greatest common divisor

So, the GCD (447, 402, 27, 831) = 3.

Find GCD of 447, 402, 27, 831 using Prime Factorization

Given numbers are 447, 402, 27, 831

The list of prime factors of all numbers are

Prime factors of 447 are 3 x 149

Prime factors of 402 are 2 x 3 x 67

Prime factors of 27 are 3 x 3 x 3

Prime factors of 831 are 3 x 277

The highest common occurrence is 31

Therefore, GCD of 447, 402, 27, 831 is 3.

Steps to Calculate GCD of 447, 402, 27, 831 using LCM Formula

Given numbers are 447, 402, 27, 831

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

Apply this formula for all numbers.

Step1:

LCM(447, 402) = 59898

GCD(447, 402) = ( 447 x 402 ) / 59898

= 447 / 402

= 447


Step2:

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

= 3 / 27

= 3


Step3:

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

= 3 / 831

= 3


So, Greatest Common Divisor of 447, 402, 27, 831 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 447, 402, 27, 831

Given numbers are 447, 402, 27, 831
The greatest common divisor of numbers 447, 402, 27, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 402, 27, 831 is 3.

FAQs on GCD of 447, 402, 27, 831 Calculator

1. What is the GCD of 447, 402, 27, 831?

GCD of given numbers 447, 402, 27, 831 is 3


2. How to calculate the greatest common divisor of 447, 402, 27, 831?

We can find the highest common divisor of 447, 402, 27, 831 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 447, 402, 27, 831 i.e 3.


3. How can I use the GCD of 447, 402, 27, 831Calculator?

Out the numbers 447, 402, 27, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.