GCD of 493, 924, 512, 875 Calculator

Given Input numbers are 493, 924, 512, 875

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 493, 924, 512, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 924, 512, 875 is 1.

Therefore, GCD of numbers 493, 924, 512, 875 is 1

Given Input Data is 493, 924, 512, 875

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

Prime Factorization of 493 is 17 x 29

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 875 is 5 x 5 x 5 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(493, 924) = 455532

GCD(493, 924) = ( 493 x 924 ) / 455532

GCD(493, 924) = 455532 / 455532

GCD(493, 924) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 493, 924, 512, 875 is 1

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1. What is the GCD of 493, 924, 512, 875?

GCD of 493, 924, 512, 875 is 1

2. Where do I get the detailed procedure to find GCD of 493, 924, 512, 875?

You can find a detailed procedure to find GCD of 493, 924, 512, 875 on our page.

3. How to find GCD of 493, 924, 512, 875 on a calculator?

You can find the GCD of 493, 924, 512, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.