GCD of 648, 827, 20, 897 Calculator

Given Input numbers are 648, 827, 20, 897

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 648, 827, 20, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 827, 20, 897 is 1.

Therefore, GCD of numbers 648, 827, 20, 897 is 1

Given Input Data is 648, 827, 20, 897

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 827 is 827

Prime Factorization of 20 is 2 x 2 x 5

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(648, 827) = 535896

GCD(648, 827) = ( 648 x 827 ) / 535896

GCD(648, 827) = 535896 / 535896

GCD(648, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 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 648, 827, 20, 897 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 492, 973, 35, 302

1. What is the GCD of 648, 827, 20, 897?

GCD of 648, 827, 20, 897 is 1

2. Where do I get the detailed procedure to find GCD of 648, 827, 20, 897?

You can find a detailed procedure to find GCD of 648, 827, 20, 897 on our page.

3. How to find GCD of 648, 827, 20, 897 on a calculator?

You can find the GCD of 648, 827, 20, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.