GCD of 16, 298, 554, 346 Calculator

Given Input numbers are 16, 298, 554, 346

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 16, 298, 554, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 298, 554, 346 is 2.

Therefore, GCD of numbers 16, 298, 554, 346 is 2

Given Input Data is 16, 298, 554, 346

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 298 is 2 x 149

Prime Factorization of 554 is 2 x 277

Prime Factorization of 346 is 2 x 173

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(16, 298) = 2384

GCD(16, 298) = ( 16 x 298 ) / 2384

GCD(16, 298) = 4768 / 2384

GCD(16, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 554

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

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

GCD(2, 554) = 1108 / 554

GCD(2, 554) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

GCD of 16, 298, 554, 346 is 2

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• GCD of 66, 637, 742, 605
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1. What is the GCD of 16, 298, 554, 346?

GCD of 16, 298, 554, 346 is 2

2. Where do I get the detailed procedure to find GCD of 16, 298, 554, 346?

You can find a detailed procedure to find GCD of 16, 298, 554, 346 on our page.

3. How to find GCD of 16, 298, 554, 346 on a calculator?

You can find the GCD of 16, 298, 554, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.