GCD of 916, 758, 884 Calculator

Given Input numbers are 916, 758, 884

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 916, 758, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 758, 884 is 2.

Therefore, GCD of numbers 916, 758, 884 is 2

Given Input Data is 916, 758, 884

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 758 is 2 x 379

Prime Factorization of 884 is 2 x 2 x 13 x 17

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, 758) = 347164

GCD(916, 758) = ( 916 x 758 ) / 347164

GCD(916, 758) = 694328 / 347164

GCD(916, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 916, 758, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 948, 564
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1. What is the GCD of 916, 758, 884?

GCD of 916, 758, 884 is 2

2. Where do I get the detailed procedure to find GCD of 916, 758, 884?

You can find a detailed procedure to find GCD of 916, 758, 884 on our page.

3. How to find GCD of 916, 758, 884 on a calculator?

You can find the GCD of 916, 758, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.