GCD of 432, 288, 861, 441 Calculator

Given Input numbers are 432, 288, 861, 441

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (432, 288, 861, 441) = 3.

Given numbers are 432, 288, 861, 441

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 861 are 3 x 7 x 41

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 432, 288, 861, 441 is 3.

Given numbers are 432, 288, 861, 441

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

Apply this formula for all numbers.

Step1:

LCM(432, 288) = 864

GCD(432, 288) = ( 432 x 288 ) / 864

= 432 / 288

= 432

Step2:

LCM(144, 861) = 41328

GCD(144, 861) = ( 144 x 861 ) / 41328

= 144 / 861

= 144

Step3:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3

So, Greatest Common Divisor of 432, 288, 861, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 838, 755, 350
• GCD of 304, 585, 960, 235
• GCD of 250, 394, 297, 505
• GCD of 903, 749, 539, 735
• GCD of 830, 419, 569, 599

Given numbers are 432, 288, 861, 441
The greatest common divisor of numbers 432, 288, 861, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 288, 861, 441 is 3.

1. What is the GCD of 432, 288, 861, 441?

GCD of given numbers 432, 288, 861, 441 is 3

2. How to calculate the greatest common divisor of 432, 288, 861, 441?

We can find the highest common divisor of 432, 288, 861, 441 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 432, 288, 861, 441 i.e 3.

3. How can I use the GCD of 432, 288, 861, 441Calculator?

Out the numbers 432, 288, 861, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.