GCD of 638, 423, 207, 112 Calculator

Given Input numbers are 638, 423, 207, 112

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

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

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

Greatest Common Divisior

We found the divisors of 638, 423, 207, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 423, 207, 112 is 1.

Therefore, GCD of numbers 638, 423, 207, 112 is 1

Given Input Data is 638, 423, 207, 112

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(638, 423) = 269874

GCD(638, 423) = ( 638 x 423 ) / 269874

GCD(638, 423) = 269874 / 269874

GCD(638, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 638, 423, 207, 112 is 1

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1. What is the GCD of 638, 423, 207, 112?

GCD of 638, 423, 207, 112 is 1

2. Where do I get the detailed procedure to find GCD of 638, 423, 207, 112?

You can find a detailed procedure to find GCD of 638, 423, 207, 112 on our page.

3. How to find GCD of 638, 423, 207, 112 on a calculator?

You can find the GCD of 638, 423, 207, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.