GCD of 871, 560, 320 Calculator

Given Input numbers are 871, 560, 320

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 871, 560, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 560, 320 is 1.

Therefore, GCD of numbers 871, 560, 320 is 1

Given Input Data is 871, 560, 320

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 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, 560) = 487760

GCD(871, 560) = ( 871 x 560 ) / 487760

GCD(871, 560) = 487760 / 487760

GCD(871, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 871, 560, 320 is 1

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1. What is the GCD of 871, 560, 320?

GCD of 871, 560, 320 is 1

2. Where do I get the detailed procedure to find GCD of 871, 560, 320?

You can find a detailed procedure to find GCD of 871, 560, 320 on our page.

3. How to find GCD of 871, 560, 320 on a calculator?

You can find the GCD of 871, 560, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.