GCD of 560, 371, 791, 401 Calculator

Given Input numbers are 560, 371, 791, 401

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 560, 371, 791, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 371, 791, 401 is 1.

Therefore, GCD of numbers 560, 371, 791, 401 is 1

Given Input Data is 560, 371, 791, 401

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 371 is 7 x 53

Prime Factorization of 791 is 7 x 113

Prime Factorization of 401 is 401

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, 371) = 29680

GCD(560, 371) = ( 560 x 371 ) / 29680

GCD(560, 371) = 207760 / 29680

GCD(560, 371) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 791

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

LCM(7, 791) = 791

GCD(7, 791) = ( 7 x 791 ) / 791

GCD(7, 791) = 5537 / 791

GCD(7, 791) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 401

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

LCM(7, 401) = 2807

GCD(7, 401) = ( 7 x 401 ) / 2807

GCD(7, 401) = 2807 / 2807

GCD(7, 401) = 1

GCD of 560, 371, 791, 401 is 1

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1. What is the GCD of 560, 371, 791, 401?

GCD of 560, 371, 791, 401 is 1

2. Where do I get the detailed procedure to find GCD of 560, 371, 791, 401?

You can find a detailed procedure to find GCD of 560, 371, 791, 401 on our page.

3. How to find GCD of 560, 371, 791, 401 on a calculator?

You can find the GCD of 560, 371, 791, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.