GCD of 81, 649, 209, 225 Calculator

Given Input numbers are 81, 649, 209, 225

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 81, 649, 209, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 649, 209, 225 is 1.

Therefore, GCD of numbers 81, 649, 209, 225 is 1

Given Input Data is 81, 649, 209, 225

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 649 is 11 x 59

Prime Factorization of 209 is 11 x 19

Prime Factorization of 225 is 3 x 3 x 5 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(81, 649) = 52569

GCD(81, 649) = ( 81 x 649 ) / 52569

GCD(81, 649) = 52569 / 52569

GCD(81, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 81, 649, 209, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 745, 126, 712
• GCD of 33, 496, 638, 609
• GCD of 38, 942, 322, 668
• GCD of 83, 947, 767, 623
• GCD of 63, 717, 801, 750

1. What is the GCD of 81, 649, 209, 225?

GCD of 81, 649, 209, 225 is 1

2. Where do I get the detailed procedure to find GCD of 81, 649, 209, 225?

You can find a detailed procedure to find GCD of 81, 649, 209, 225 on our page.

3. How to find GCD of 81, 649, 209, 225 on a calculator?

You can find the GCD of 81, 649, 209, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.