GCD of 432, 297, 945, 585 Calculator

Given Input numbers are 432, 297, 945, 585

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (432, 297, 945, 585) = 9.

Given numbers are 432, 297, 945, 585

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 297 are 3 x 3 x 3 x 11

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 585 are 3 x 3 x 5 x 13

The highest common occurrence is 3²

Therefore, GCD of 432, 297, 945, 585 is 9.

Given numbers are 432, 297, 945, 585

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

Apply this formula for all numbers.

Step1:

LCM(432, 297) = 4752

GCD(432, 297) = ( 432 x 297 ) / 4752

= 432 / 297

= 432

Step2:

LCM(27, 945) = 945

GCD(27, 945) = ( 27 x 945 ) / 945

= 27 / 945

= 27

Step3:

LCM(27, 585) = 1755

GCD(27, 585) = ( 27 x 585 ) / 1755

= 27 / 585

= 27

So, Greatest Common Divisor of 432, 297, 945, 585 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 418, 223, 663
• GCD of 546, 659, 615, 505
• GCD of 939, 868, 961, 442
• GCD of 218, 260, 655, 405
• GCD of 735, 990, 241, 212

Given numbers are 432, 297, 945, 585
The greatest common divisor of numbers 432, 297, 945, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 297, 945, 585 is 9.

1. What is the GCD of 432, 297, 945, 585?

GCD of given numbers 432, 297, 945, 585 is 9

2. How to calculate the greatest common divisor of 432, 297, 945, 585?

We can find the highest common divisor of 432, 297, 945, 585 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, 297, 945, 585 i.e 9.

3. How can I use the GCD of 432, 297, 945, 585Calculator?

Out the numbers 432, 297, 945, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.