GCD of 225, 144, 882, 459 Calculator

Given Input numbers are 225, 144, 882, 459

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

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (225, 144, 882, 459) = 9.

Given numbers are 225, 144, 882, 459

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 459 are 3 x 3 x 3 x 17

The highest common occurrence is 3²

Therefore, GCD of 225, 144, 882, 459 is 9.

Given numbers are 225, 144, 882, 459

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

Apply this formula for all numbers.

Step1:

LCM(225, 144) = 3600

GCD(225, 144) = ( 225 x 144 ) / 3600

= 225 / 144

= 225

Step2:

LCM(9, 882) = 882

GCD(9, 882) = ( 9 x 882 ) / 882

= 9 / 882

= 9

Step3:

LCM(9, 459) = 459

GCD(9, 459) = ( 9 x 459 ) / 459

= 9 / 459

= 9

So, Greatest Common Divisor of 225, 144, 882, 459 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 708, 286, 914
• GCD of 604, 441, 213, 569
• GCD of 463, 385, 933, 569
• GCD of 199, 290, 668, 651
• GCD of 840, 465, 421, 551

Given numbers are 225, 144, 882, 459
The greatest common divisor of numbers 225, 144, 882, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 144, 882, 459 is 9.

1. What is the GCD of 225, 144, 882, 459?

GCD of given numbers 225, 144, 882, 459 is 9

2. How to calculate the greatest common divisor of 225, 144, 882, 459?

We can find the highest common divisor of 225, 144, 882, 459 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 225, 144, 882, 459 i.e 9.

3. How can I use the GCD of 225, 144, 882, 459Calculator?

Out the numbers 225, 144, 882, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.