GCD of 854, 791, 560, 996 Calculator

Given Input numbers are 854, 791, 560, 996

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 791

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

1, 7, 113, 791

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 854, 791, 560, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 791, 560, 996 is 1.

Therefore, GCD of numbers 854, 791, 560, 996 is 1

Given Input Data is 854, 791, 560, 996

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 791 is 7 x 113

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(854, 791) = 96502

GCD(854, 791) = ( 854 x 791 ) / 96502

GCD(854, 791) = 675514 / 96502

GCD(854, 791) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 560

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

LCM(7, 560) = 560

GCD(7, 560) = ( 7 x 560 ) / 560

GCD(7, 560) = 3920 / 560

GCD(7, 560) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 996

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

LCM(7, 996) = 6972

GCD(7, 996) = ( 7 x 996 ) / 6972

GCD(7, 996) = 6972 / 6972

GCD(7, 996) = 1

GCD of 854, 791, 560, 996 is 1

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1. What is the GCD of 854, 791, 560, 996?

GCD of 854, 791, 560, 996 is 1

2. Where do I get the detailed procedure to find GCD of 854, 791, 560, 996?

You can find a detailed procedure to find GCD of 854, 791, 560, 996 on our page.

3. How to find GCD of 854, 791, 560, 996 on a calculator?

You can find the GCD of 854, 791, 560, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.