GCD of 38, 638, 736, 172 Calculator

Given Input numbers are 38, 638, 736, 172

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 38, 638, 736, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 638, 736, 172 is 2.

Therefore, GCD of numbers 38, 638, 736, 172 is 2

Given Input Data is 38, 638, 736, 172

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 638 is 2 x 11 x 29

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

Prime Factorization of 172 is 2 x 2 x 43

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(38, 638) = 12122

GCD(38, 638) = ( 38 x 638 ) / 12122

GCD(38, 638) = 24244 / 12122

GCD(38, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 38, 638, 736, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 185, 610, 276
• GCD of 23, 532, 356, 195
• GCD of 16, 674, 824, 705
• GCD of 42, 690, 738, 188
• GCD of 13, 584, 543, 528

1. What is the GCD of 38, 638, 736, 172?

GCD of 38, 638, 736, 172 is 2

2. Where do I get the detailed procedure to find GCD of 38, 638, 736, 172?

You can find a detailed procedure to find GCD of 38, 638, 736, 172 on our page.

3. How to find GCD of 38, 638, 736, 172 on a calculator?

You can find the GCD of 38, 638, 736, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.