GCD of 170, 438, 12, 288 Calculator

Given Input numbers are 170, 438, 12, 288

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 438, 12, 288) = 2.

Given numbers are 170, 438, 12, 288

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 438 are 2 x 3 x 73

Prime factors of 12 are 2 x 2 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 170, 438, 12, 288 is 2.

Given numbers are 170, 438, 12, 288

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

Apply this formula for all numbers.

Step1:

LCM(170, 438) = 37230

GCD(170, 438) = ( 170 x 438 ) / 37230

= 170 / 438

= 170

Step2:

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

= 2 / 12

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 170, 438, 12, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 121, 97, 331
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• GCD of 174, 334, 98, 534

Given numbers are 170, 438, 12, 288
The greatest common divisor of numbers 170, 438, 12, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 438, 12, 288 is 2.

1. What is the GCD of 170, 438, 12, 288?

GCD of given numbers 170, 438, 12, 288 is 2

2. How to calculate the greatest common divisor of 170, 438, 12, 288?

We can find the highest common divisor of 170, 438, 12, 288 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 170, 438, 12, 288 i.e 2.

3. How can I use the GCD of 170, 438, 12, 288Calculator?

Out the numbers 170, 438, 12, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.