GCD of 24, 891, 676, 135 Calculator

Given Input numbers are 24, 891, 676, 135

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

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 24, 891, 676, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 891, 676, 135 is 1.

Therefore, GCD of numbers 24, 891, 676, 135 is 1

Given Input Data is 24, 891, 676, 135

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

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(24, 891) = 7128

GCD(24, 891) = ( 24 x 891 ) / 7128

GCD(24, 891) = 21384 / 7128

GCD(24, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 676

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

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

GCD(3, 676) = 2028 / 2028

GCD(3, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 24, 891, 676, 135 is 1

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1. What is the GCD of 24, 891, 676, 135?

GCD of 24, 891, 676, 135 is 1

2. Where do I get the detailed procedure to find GCD of 24, 891, 676, 135?

You can find a detailed procedure to find GCD of 24, 891, 676, 135 on our page.

3. How to find GCD of 24, 891, 676, 135 on a calculator?

You can find the GCD of 24, 891, 676, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.