GCD of 871, 459, 270, 480 Calculator

Given Input numbers are 871, 459, 270, 480

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 871, 459, 270, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 459, 270, 480 is 1.

Therefore, GCD of numbers 871, 459, 270, 480 is 1

Given Input Data is 871, 459, 270, 480

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 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(871, 459) = 399789

GCD(871, 459) = ( 871 x 459 ) / 399789

GCD(871, 459) = 399789 / 399789

GCD(871, 459) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 871, 459, 270, 480 is 1

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1. What is the GCD of 871, 459, 270, 480?

GCD of 871, 459, 270, 480 is 1

2. Where do I get the detailed procedure to find GCD of 871, 459, 270, 480?

You can find a detailed procedure to find GCD of 871, 459, 270, 480 on our page.

3. How to find GCD of 871, 459, 270, 480 on a calculator?

You can find the GCD of 871, 459, 270, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.