GCD of 224, 128, 288, 624 Calculator

Given Input numbers are 224, 128, 288, 624

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (224, 128, 288, 624) = 16.

Given numbers are 224, 128, 288, 624

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2⁴

Therefore, GCD of 224, 128, 288, 624 is 16.

Given numbers are 224, 128, 288, 624

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

Apply this formula for all numbers.

Step1:

LCM(224, 128) = 896

GCD(224, 128) = ( 224 x 128 ) / 896

= 224 / 128

= 224

Step2:

LCM(32, 288) = 288

GCD(32, 288) = ( 32 x 288 ) / 288

= 32 / 288

= 32

Step3:

LCM(32, 624) = 1248

GCD(32, 624) = ( 32 x 624 ) / 1248

= 32 / 624

= 32

So, Greatest Common Divisor of 224, 128, 288, 624 is 16

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 928, 936, 125
• GCD of 401, 568, 567, 911
• GCD of 570, 805, 685, 388
• GCD of 602, 830, 719, 141
• GCD of 614, 696, 305, 215

Given numbers are 224, 128, 288, 624
The greatest common divisor of numbers 224, 128, 288, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 128, 288, 624 is 16.

1. What is the GCD of 224, 128, 288, 624?

GCD of given numbers 224, 128, 288, 624 is 16

2. How to calculate the greatest common divisor of 224, 128, 288, 624?

We can find the highest common divisor of 224, 128, 288, 624 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 224, 128, 288, 624 i.e 16.

3. How can I use the GCD of 224, 128, 288, 624Calculator?

Out the numbers 224, 128, 288, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.