GCD of 509, 810, 48, 994 Calculator

Given Input numbers are 509, 810, 48, 994

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 509, 810, 48, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 810, 48, 994 is 1.

Therefore, GCD of numbers 509, 810, 48, 994 is 1

Given Input Data is 509, 810, 48, 994

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

Prime Factorization of 509 is 509

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 994 is 2 x 7 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(509, 810) = 412290

GCD(509, 810) = ( 509 x 810 ) / 412290

GCD(509, 810) = 412290 / 412290

GCD(509, 810) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 509, 810, 48, 994 is 1

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• GCD of 458, 934, 41, 958
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1. What is the GCD of 509, 810, 48, 994?

GCD of 509, 810, 48, 994 is 1

2. Where do I get the detailed procedure to find GCD of 509, 810, 48, 994?

You can find a detailed procedure to find GCD of 509, 810, 48, 994 on our page.

3. How to find GCD of 509, 810, 48, 994 on a calculator?

You can find the GCD of 509, 810, 48, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.