GCD of 123, 900, 447 Calculator

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.

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.

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

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 957, 941
• GCD of 263, 535, 197
• GCD of 726, 220, 413
• GCD of 190, 771, 680
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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.

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.