GCD of 509, 972, 24, 891 Calculator

Given Input numbers are 509, 972, 24, 891

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 509, 972, 24, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 972, 24, 891 is 1.

Therefore, GCD of numbers 509, 972, 24, 891 is 1

Given Input Data is 509, 972, 24, 891

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

Prime Factorization of 509 is 509

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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, 972) = 494748

GCD(509, 972) = ( 509 x 972 ) / 494748

GCD(509, 972) = 494748 / 494748

GCD(509, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 509, 972, 24, 891 is 1

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1. What is the GCD of 509, 972, 24, 891?

GCD of 509, 972, 24, 891 is 1

2. Where do I get the detailed procedure to find GCD of 509, 972, 24, 891?

You can find a detailed procedure to find GCD of 509, 972, 24, 891 on our page.

3. How to find GCD of 509, 972, 24, 891 on a calculator?

You can find the GCD of 509, 972, 24, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.