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GCD of 447, 813, 252 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, 813, 252 quickly. Get the easiest ways to solve the greatest common divisor of 447, 813, 252 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 447, 813, 252 with Factoring?

Given Input numbers are 447, 813, 252

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 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252


GCD of numbers is the greatest common divisor

So, the GCD (447, 813, 252) = 3.

Find GCD of 447, 813, 252 using Prime Factorization

Given numbers are 447, 813, 252

The list of prime factors of all numbers are

Prime factors of 447 are 3 x 149

Prime factors of 813 are 3 x 271

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 31

Therefore, GCD of 447, 813, 252 is 3.

Steps to Calculate GCD of 447, 813, 252 using LCM Formula

Given numbers are 447, 813, 252

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

Apply this formula for all numbers.

Step1:

LCM(447, 813) = 121137

GCD(447, 813) = ( 447 x 813 ) / 121137

= 447 / 813

= 447


Step2:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3


So, Greatest Common Divisor of 447, 813, 252 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 447, 813, 252

Given numbers are 447, 813, 252
The greatest common divisor of numbers 447, 813, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 813, 252 is 3.

FAQs on GCD of 447, 813, 252 Calculator

1. What is the GCD of 447, 813, 252?

GCD of given numbers 447, 813, 252 is 3


2. How to calculate the greatest common divisor of 447, 813, 252?

We can find the highest common divisor of 447, 813, 252 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, 813, 252 i.e 3.


3. How can I use the GCD of 447, 813, 252Calculator?

Out the numbers 447, 813, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.