GCD of 896, 172, 288 Calculator

Given Input numbers are 896, 172, 288

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

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 (896, 172, 288) = 4.

Given numbers are 896, 172, 288

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 172 are 2 x 2 x 43

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 896, 172, 288 is 4.

Given numbers are 896, 172, 288

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

Apply this formula for all numbers.

Step1:

LCM(896, 172) = 38528

GCD(896, 172) = ( 896 x 172 ) / 38528

= 896 / 172

= 896

Step2:

LCM(4, 288) = 288

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

= 4 / 288

= 4

So, Greatest Common Divisor of 896, 172, 288 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 995, 680
• GCD of 267, 813, 551
• GCD of 323, 679, 889
• GCD of 571, 704, 319
• GCD of 838, 776, 216

Given numbers are 896, 172, 288
The greatest common divisor of numbers 896, 172, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 172, 288 is 4.

1. What is the GCD of 896, 172, 288?

GCD of given numbers 896, 172, 288 is 4

2. How to calculate the greatest common divisor of 896, 172, 288?

We can find the highest common divisor of 896, 172, 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 896, 172, 288 i.e 4.

3. How can I use the GCD of 896, 172, 288Calculator?

Out the numbers 896, 172, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.