GCD of 264, 280, 871 Calculator

Given Input numbers are 264, 280, 871

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 871

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

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 264, 280, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 280, 871 is 1.

Therefore, GCD of numbers 264, 280, 871 is 1

Given Input Data is 264, 280, 871

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 871 is 13 x 67

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(264, 280) = 9240

GCD(264, 280) = ( 264 x 280 ) / 9240

GCD(264, 280) = 73920 / 9240

GCD(264, 280) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 871

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

LCM(8, 871) = 6968

GCD(8, 871) = ( 8 x 871 ) / 6968

GCD(8, 871) = 6968 / 6968

GCD(8, 871) = 1

GCD of 264, 280, 871 is 1

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1. What is the GCD of 264, 280, 871?

GCD of 264, 280, 871 is 1

2. Where do I get the detailed procedure to find GCD of 264, 280, 871?

You can find a detailed procedure to find GCD of 264, 280, 871 on our page.

3. How to find GCD of 264, 280, 871 on a calculator?

You can find the GCD of 264, 280, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.