GCD of 302, 550, 916 Calculator

Given Input numbers are 302, 550, 916

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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

Greatest Common Divisior

We found the divisors of 302, 550, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 550, 916 is 2.

Therefore, GCD of numbers 302, 550, 916 is 2

Given Input Data is 302, 550, 916

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

Prime Factorization of 302 is 2 x 151

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

Prime Factorization of 916 is 2 x 2 x 229

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(302, 550) = 83050

GCD(302, 550) = ( 302 x 550 ) / 83050

GCD(302, 550) = 166100 / 83050

GCD(302, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

GCD of 302, 550, 916 is 2

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1. What is the GCD of 302, 550, 916?

GCD of 302, 550, 916 is 2

2. Where do I get the detailed procedure to find GCD of 302, 550, 916?

You can find a detailed procedure to find GCD of 302, 550, 916 on our page.

3. How to find GCD of 302, 550, 916 on a calculator?

You can find the GCD of 302, 550, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.