GCD of 634, 360, 128, 423 Calculator

Given Input numbers are 634, 360, 128, 423

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

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

Divisors of 423

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

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 634, 360, 128, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 360, 128, 423 is 1.

Therefore, GCD of numbers 634, 360, 128, 423 is 1

Given Input Data is 634, 360, 128, 423

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 423 is 3 x 3 x 47

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(634, 360) = 114120

GCD(634, 360) = ( 634 x 360 ) / 114120

GCD(634, 360) = 228240 / 114120

GCD(634, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 128

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

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

GCD(2, 128) = 256 / 128

GCD(2, 128) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 634, 360, 128, 423 is 1

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1. What is the GCD of 634, 360, 128, 423?

GCD of 634, 360, 128, 423 is 1

2. Where do I get the detailed procedure to find GCD of 634, 360, 128, 423?

You can find a detailed procedure to find GCD of 634, 360, 128, 423 on our page.

3. How to find GCD of 634, 360, 128, 423 on a calculator?

You can find the GCD of 634, 360, 128, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.