GCD of 979, 836, 560, 809 Calculator

Given Input numbers are 979, 836, 560, 809

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

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 979, 836, 560, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 836, 560, 809 is 1.

Therefore, GCD of numbers 979, 836, 560, 809 is 1

Given Input Data is 979, 836, 560, 809

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 836 is 2 x 2 x 11 x 19

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

Prime Factorization of 809 is 809

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(979, 836) = 74404

GCD(979, 836) = ( 979 x 836 ) / 74404

GCD(979, 836) = 818444 / 74404

GCD(979, 836) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 560

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

LCM(11, 560) = 6160

GCD(11, 560) = ( 11 x 560 ) / 6160

GCD(11, 560) = 6160 / 6160

GCD(11, 560) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 979, 836, 560, 809 is 1

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1. What is the GCD of 979, 836, 560, 809?

GCD of 979, 836, 560, 809 is 1

2. Where do I get the detailed procedure to find GCD of 979, 836, 560, 809?

You can find a detailed procedure to find GCD of 979, 836, 560, 809 on our page.

3. How to find GCD of 979, 836, 560, 809 on a calculator?

You can find the GCD of 979, 836, 560, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.