GCD of 512, 224, 552, 188 Calculator

Given Input numbers are 512, 224, 552, 188

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (512, 224, 552, 188) = 4.

Given numbers are 512, 224, 552, 188

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 188 are 2 x 2 x 47

The highest common occurrence is 2²

Therefore, GCD of 512, 224, 552, 188 is 4.

Given numbers are 512, 224, 552, 188

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

Apply this formula for all numbers.

Step1:

LCM(512, 224) = 3584

GCD(512, 224) = ( 512 x 224 ) / 3584

= 512 / 224

= 512

Step2:

LCM(32, 552) = 2208

GCD(32, 552) = ( 32 x 552 ) / 2208

= 32 / 552

= 32

Step3:

LCM(8, 188) = 376

GCD(8, 188) = ( 8 x 188 ) / 376

= 8 / 188

= 8

So, Greatest Common Divisor of 512, 224, 552, 188 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 584, 305, 369
• GCD of 954, 684, 997, 581
• GCD of 800, 534, 346, 673
• GCD of 720, 747, 516, 850
• GCD of 657, 452, 497, 332

Given numbers are 512, 224, 552, 188
The greatest common divisor of numbers 512, 224, 552, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 224, 552, 188 is 4.

1. What is the GCD of 512, 224, 552, 188?

GCD of given numbers 512, 224, 552, 188 is 4

2. How to calculate the greatest common divisor of 512, 224, 552, 188?

We can find the highest common divisor of 512, 224, 552, 188 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 512, 224, 552, 188 i.e 4.

3. How can I use the GCD of 512, 224, 552, 188Calculator?

Out the numbers 512, 224, 552, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.