GCD of 868, 560, 28, 985 Calculator

Given Input numbers are 868, 560, 28, 985

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 868, 560, 28, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 560, 28, 985 is 1.

Therefore, GCD of numbers 868, 560, 28, 985 is 1

Given Input Data is 868, 560, 28, 985

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 985 is 5 x 197

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(868, 560) = 17360

GCD(868, 560) = ( 868 x 560 ) / 17360

GCD(868, 560) = 486080 / 17360

GCD(868, 560) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 28

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

LCM(28, 28) = 28

GCD(28, 28) = ( 28 x 28 ) / 28

GCD(28, 28) = 784 / 28

GCD(28, 28) = 28

Step3:

Here we consider the GCD from the above i.e. 28 as first number and the next as 985

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

LCM(28, 985) = 27580

GCD(28, 985) = ( 28 x 985 ) / 27580

GCD(28, 985) = 27580 / 27580

GCD(28, 985) = 1

GCD of 868, 560, 28, 985 is 1

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1. What is the GCD of 868, 560, 28, 985?

GCD of 868, 560, 28, 985 is 1

2. Where do I get the detailed procedure to find GCD of 868, 560, 28, 985?

You can find a detailed procedure to find GCD of 868, 560, 28, 985 on our page.

3. How to find GCD of 868, 560, 28, 985 on a calculator?

You can find the GCD of 868, 560, 28, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.