GCD of 550, 916, 792 Calculator

Given Input numbers are 550, 916, 792

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 550, 916, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 916, 792 is 2.

Therefore, GCD of numbers 550, 916, 792 is 2

Given Input Data is 550, 916, 792

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(550, 916) = 251900

GCD(550, 916) = ( 550 x 916 ) / 251900

GCD(550, 916) = 503800 / 251900

GCD(550, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

GCD of 550, 916, 792 is 2

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1. What is the GCD of 550, 916, 792?

GCD of 550, 916, 792 is 2

2. Where do I get the detailed procedure to find GCD of 550, 916, 792?

You can find a detailed procedure to find GCD of 550, 916, 792 on our page.

3. How to find GCD of 550, 916, 792 on a calculator?

You can find the GCD of 550, 916, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.