GCD of 871, 407, 569, 689 Calculator

Given Input numbers are 871, 407, 569, 689

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 871, 407, 569, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 407, 569, 689 is 1.

Therefore, GCD of numbers 871, 407, 569, 689 is 1

Given Input Data is 871, 407, 569, 689

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 407 is 11 x 37

Prime Factorization of 569 is 569

Prime Factorization of 689 is 13 x 53

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, 407) = 354497

GCD(871, 407) = ( 871 x 407 ) / 354497

GCD(871, 407) = 354497 / 354497

GCD(871, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 871, 407, 569, 689 is 1

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1. What is the GCD of 871, 407, 569, 689?

GCD of 871, 407, 569, 689 is 1

2. Where do I get the detailed procedure to find GCD of 871, 407, 569, 689?

You can find a detailed procedure to find GCD of 871, 407, 569, 689 on our page.

3. How to find GCD of 871, 407, 569, 689 on a calculator?

You can find the GCD of 871, 407, 569, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.