GCD of 909, 271, 448, 655 Calculator

Given Input numbers are 909, 271, 448, 655

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 909, 271, 448, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 271, 448, 655 is 1.

Therefore, GCD of numbers 909, 271, 448, 655 is 1

Given Input Data is 909, 271, 448, 655

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 271 is 271

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 655 is 5 x 131

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(909, 271) = 246339

GCD(909, 271) = ( 909 x 271 ) / 246339

GCD(909, 271) = 246339 / 246339

GCD(909, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 909, 271, 448, 655 is 1

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1. What is the GCD of 909, 271, 448, 655?

GCD of 909, 271, 448, 655 is 1

2. Where do I get the detailed procedure to find GCD of 909, 271, 448, 655?

You can find a detailed procedure to find GCD of 909, 271, 448, 655 on our page.

3. How to find GCD of 909, 271, 448, 655 on a calculator?

You can find the GCD of 909, 271, 448, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.