GCD of 438, 924, 10, 923 Calculator

Given Input numbers are 438, 924, 10, 923

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 438, 924, 10, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 924, 10, 923 is 1.

Therefore, GCD of numbers 438, 924, 10, 923 is 1

Given Input Data is 438, 924, 10, 923

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 10 is 2 x 5

Prime Factorization of 923 is 13 x 71

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(438, 924) = 67452

GCD(438, 924) = ( 438 x 924 ) / 67452

GCD(438, 924) = 404712 / 67452

GCD(438, 924) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 10

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

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

GCD(6, 10) = 60 / 30

GCD(6, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

GCD of 438, 924, 10, 923 is 1

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• GCD of 691, 344, 71, 948
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• GCD of 568, 894, 50, 747

1. What is the GCD of 438, 924, 10, 923?

GCD of 438, 924, 10, 923 is 1

2. Where do I get the detailed procedure to find GCD of 438, 924, 10, 923?

You can find a detailed procedure to find GCD of 438, 924, 10, 923 on our page.

3. How to find GCD of 438, 924, 10, 923 on a calculator?

You can find the GCD of 438, 924, 10, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.