GCD of 512, 736, 22, 208 Calculator

Given Input numbers are 512, 736, 22, 208

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 512, 736, 22, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 736, 22, 208 is 2.

Therefore, GCD of numbers 512, 736, 22, 208 is 2

Given Input Data is 512, 736, 22, 208

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 22 is 2 x 11

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(512, 736) = 11776

GCD(512, 736) = ( 512 x 736 ) / 11776

GCD(512, 736) = 376832 / 11776

GCD(512, 736) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 22

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

LCM(32, 22) = 352

GCD(32, 22) = ( 32 x 22 ) / 352

GCD(32, 22) = 704 / 352

GCD(32, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 208

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

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

GCD(2, 208) = 416 / 208

GCD(2, 208) = 2

GCD of 512, 736, 22, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 722, 31, 796
• GCD of 778, 535, 83, 292
• GCD of 684, 708, 70, 387
• GCD of 726, 942, 27, 622
• GCD of 480, 527, 48, 888

1. What is the GCD of 512, 736, 22, 208?

GCD of 512, 736, 22, 208 is 2

2. Where do I get the detailed procedure to find GCD of 512, 736, 22, 208?

You can find a detailed procedure to find GCD of 512, 736, 22, 208 on our page.

3. How to find GCD of 512, 736, 22, 208 on a calculator?

You can find the GCD of 512, 736, 22, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.