GCD of 916, 560, 866 Calculator

Given Input numbers are 916, 560, 866

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Greatest Common Divisior

We found the divisors of 916, 560, 866 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 560, 866 is 2.

Therefore, GCD of numbers 916, 560, 866 is 2

Given Input Data is 916, 560, 866

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

Prime Factorization of 916 is 2 x 2 x 229

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

Prime Factorization of 866 is 2 x 433

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(916, 560) = 128240

GCD(916, 560) = ( 916 x 560 ) / 128240

GCD(916, 560) = 512960 / 128240

GCD(916, 560) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 866

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

LCM(4, 866) = 1732

GCD(4, 866) = ( 4 x 866 ) / 1732

GCD(4, 866) = 3464 / 1732

GCD(4, 866) = 2

GCD of 916, 560, 866 is 2

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1. What is the GCD of 916, 560, 866?

GCD of 916, 560, 866 is 2

2. Where do I get the detailed procedure to find GCD of 916, 560, 866?

You can find a detailed procedure to find GCD of 916, 560, 866 on our page.

3. How to find GCD of 916, 560, 866 on a calculator?

You can find the GCD of 916, 560, 866 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.