GCD of 924, 805, 38, 491 Calculator

Given Input numbers are 924, 805, 38, 491

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

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 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 38

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

1, 2, 19, 38

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 924, 805, 38, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 805, 38, 491 is 1.

Therefore, GCD of numbers 924, 805, 38, 491 is 1

Given Input Data is 924, 805, 38, 491

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

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 38 is 2 x 19

Prime Factorization of 491 is 491

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(924, 805) = 106260

GCD(924, 805) = ( 924 x 805 ) / 106260

GCD(924, 805) = 743820 / 106260

GCD(924, 805) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 38

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

LCM(7, 38) = 266

GCD(7, 38) = ( 7 x 38 ) / 266

GCD(7, 38) = 266 / 266

GCD(7, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 924, 805, 38, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 156, 38, 314
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• GCD of 594, 909, 18, 975
• GCD of 458, 338, 87, 691
• GCD of 180, 504, 84, 905

1. What is the GCD of 924, 805, 38, 491?

GCD of 924, 805, 38, 491 is 1

2. Where do I get the detailed procedure to find GCD of 924, 805, 38, 491?

You can find a detailed procedure to find GCD of 924, 805, 38, 491 on our page.

3. How to find GCD of 924, 805, 38, 491 on a calculator?

You can find the GCD of 924, 805, 38, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.