GCD of 213, 648, 895 Calculator

Given Input numbers are 213, 648, 895

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

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 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 213, 648, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 648, 895 is 1.

Therefore, GCD of numbers 213, 648, 895 is 1

Given Input Data is 213, 648, 895

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

Prime Factorization of 213 is 3 x 71

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

Prime Factorization of 895 is 5 x 179

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(213, 648) = 46008

GCD(213, 648) = ( 213 x 648 ) / 46008

GCD(213, 648) = 138024 / 46008

GCD(213, 648) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 895

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

LCM(3, 895) = 2685

GCD(3, 895) = ( 3 x 895 ) / 2685

GCD(3, 895) = 2685 / 2685

GCD(3, 895) = 1

GCD of 213, 648, 895 is 1

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1. What is the GCD of 213, 648, 895?

GCD of 213, 648, 895 is 1

2. Where do I get the detailed procedure to find GCD of 213, 648, 895?

You can find a detailed procedure to find GCD of 213, 648, 895 on our page.

3. How to find GCD of 213, 648, 895 on a calculator?

You can find the GCD of 213, 648, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.