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GCD of 447, 225, 126 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, 225, 126 quickly. Get the easiest ways to solve the greatest common divisor of 447, 225, 126 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 447, 225, 126 with Factoring?

Given Input numbers are 447, 225, 126

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126


GCD of numbers is the greatest common divisor

So, the GCD (447, 225, 126) = 3.

Find GCD of 447, 225, 126 using Prime Factorization

Given numbers are 447, 225, 126

The list of prime factors of all numbers are

Prime factors of 447 are 3 x 149

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 31

Therefore, GCD of 447, 225, 126 is 3.

Steps to Calculate GCD of 447, 225, 126 using LCM Formula

Given numbers are 447, 225, 126

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

Apply this formula for all numbers.

Step1:

LCM(447, 225) = 33525

GCD(447, 225) = ( 447 x 225 ) / 33525

= 447 / 225

= 447


Step2:

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

= 3 / 126

= 3


So, Greatest Common Divisor of 447, 225, 126 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 447, 225, 126

Given numbers are 447, 225, 126
The greatest common divisor of numbers 447, 225, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 225, 126 is 3.

FAQs on GCD of 447, 225, 126 Calculator

1. What is the GCD of 447, 225, 126?

GCD of given numbers 447, 225, 126 is 3


2. How to calculate the greatest common divisor of 447, 225, 126?

We can find the highest common divisor of 447, 225, 126 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, 225, 126 i.e 3.


3. How can I use the GCD of 447, 225, 126Calculator?

Out the numbers 447, 225, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.