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GCD of 123, 900, 447 Calculator

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


Online GCD Calculator is useful to find the GCD of 123, 900, 447 quickly. Get the easiest ways to solve the greatest common divisor of 123, 900, 447 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 123, 900, 447 with Factoring?

Given Input numbers are 123, 900, 447

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 447 :

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

1, 3, 149, 447


GCD of numbers is the greatest common divisor

So, the GCD (123, 900, 447) = 3.

Find GCD of 123, 900, 447 using Prime Factorization

Given numbers are 123, 900, 447

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 447 are 3 x 149

The highest common occurrence is 31

Therefore, GCD of 123, 900, 447 is 3.

Steps to Calculate GCD of 123, 900, 447 using LCM Formula

Given numbers are 123, 900, 447

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

Apply this formula for all numbers.

Step1:

LCM(123, 900) = 36900

GCD(123, 900) = ( 123 x 900 ) / 36900

= 123 / 900

= 123


Step2:

LCM(3, 447) = 447

GCD(3, 447) = ( 3 x 447 ) / 447

= 3 / 447

= 3


So, Greatest Common Divisor of 123, 900, 447 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 123, 900, 447

Given numbers are 123, 900, 447
The greatest common divisor of numbers 123, 900, 447 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 900, 447 is 3.

FAQs on GCD of 123, 900, 447 Calculator

1. What is the GCD of 123, 900, 447?

GCD of given numbers 123, 900, 447 is 3


2. How to calculate the greatest common divisor of 123, 900, 447?

We can find the highest common divisor of 123, 900, 447 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 123, 900, 447 i.e 3.


3. How can I use the GCD of 123, 900, 447Calculator?

Out the numbers 123, 900, 447 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.