GCD of 172, 104, 288 Calculator

Given Input numbers are 172, 104, 288

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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 (172, 104, 288) = 4.

Given numbers are 172, 104, 288

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 104 are 2 x 2 x 2 x 13

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

The highest common occurrence is 2²

Therefore, GCD of 172, 104, 288 is 4.

Given numbers are 172, 104, 288

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

Apply this formula for all numbers.

Step1:

LCM(172, 104) = 4472

GCD(172, 104) = ( 172 x 104 ) / 4472

= 172 / 104

= 172

Step2:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

So, Greatest Common Divisor of 172, 104, 288 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 848, 920
• GCD of 167, 685, 905
• GCD of 688, 252, 772
• GCD of 808, 544, 317
• GCD of 881, 592, 881

Given numbers are 172, 104, 288
The greatest common divisor of numbers 172, 104, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 104, 288 is 4.

1. What is the GCD of 172, 104, 288?

GCD of given numbers 172, 104, 288 is 4

2. How to calculate the greatest common divisor of 172, 104, 288?

We can find the highest common divisor of 172, 104, 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 172, 104, 288 i.e 4.

3. How can I use the GCD of 172, 104, 288Calculator?

Out the numbers 172, 104, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.