GCD of 560, 582, 127, 871 Calculator

Given Input numbers are 560, 582, 127, 871

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

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

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 560, 582, 127, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 582, 127, 871 is 1.

Therefore, GCD of numbers 560, 582, 127, 871 is 1

Given Input Data is 560, 582, 127, 871

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

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 127 is 127

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(560, 582) = 162960

GCD(560, 582) = ( 560 x 582 ) / 162960

GCD(560, 582) = 325920 / 162960

GCD(560, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 127

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

LCM(2, 127) = 254

GCD(2, 127) = ( 2 x 127 ) / 254

GCD(2, 127) = 254 / 254

GCD(2, 127) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 560, 582, 127, 871 is 1

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1. What is the GCD of 560, 582, 127, 871?

GCD of 560, 582, 127, 871 is 1

2. Where do I get the detailed procedure to find GCD of 560, 582, 127, 871?

You can find a detailed procedure to find GCD of 560, 582, 127, 871 on our page.

3. How to find GCD of 560, 582, 127, 871 on a calculator?

You can find the GCD of 560, 582, 127, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.