GCD of 225, 459, 339, 291 Calculator

Given Input numbers are 225, 459, 339, 291

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 459 :

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

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (225, 459, 339, 291) = 3.

Given numbers are 225, 459, 339, 291

The list of prime factors of all numbers are

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

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

Prime factors of 339 are 3 x 113

Prime factors of 291 are 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 225, 459, 339, 291 is 3.

Given numbers are 225, 459, 339, 291

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

Apply this formula for all numbers.

Step1:

LCM(225, 459) = 11475

GCD(225, 459) = ( 225 x 459 ) / 11475

= 225 / 459

= 225

Step2:

LCM(9, 339) = 1017

GCD(9, 339) = ( 9 x 339 ) / 1017

= 9 / 339

= 9

Step3:

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

= 3 / 291

= 3

So, Greatest Common Divisor of 225, 459, 339, 291 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 677, 672, 434
• GCD of 132, 925, 592, 454
• GCD of 960, 127, 471, 609
• GCD of 451, 606, 784, 181
• GCD of 810, 732, 328, 740

Given numbers are 225, 459, 339, 291
The greatest common divisor of numbers 225, 459, 339, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 459, 339, 291 is 3.

1. What is the GCD of 225, 459, 339, 291?

GCD of given numbers 225, 459, 339, 291 is 3

2. How to calculate the greatest common divisor of 225, 459, 339, 291?

We can find the highest common divisor of 225, 459, 339, 291 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, 459, 339, 291 i.e 3.

3. How can I use the GCD of 225, 459, 339, 291Calculator?

Out the numbers 225, 459, 339, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.