GCD of 823, 540, 96, 897 Calculator

Given Input numbers are 823, 540, 96, 897

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 823, 540, 96, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 540, 96, 897 is 1.

Therefore, GCD of numbers 823, 540, 96, 897 is 1

Given Input Data is 823, 540, 96, 897

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

Prime Factorization of 823 is 823

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 897 is 3 x 13 x 23

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(823, 540) = 444420

GCD(823, 540) = ( 823 x 540 ) / 444420

GCD(823, 540) = 444420 / 444420

GCD(823, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 823, 540, 96, 897 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 823, 540, 96, 897?

GCD of 823, 540, 96, 897 is 1

2. Where do I get the detailed procedure to find GCD of 823, 540, 96, 897?

You can find a detailed procedure to find GCD of 823, 540, 96, 897 on our page.

3. How to find GCD of 823, 540, 96, 897 on a calculator?

You can find the GCD of 823, 540, 96, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.