GCD of 674, 216, 16 Calculator

Given Input numbers are 674, 216, 16

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 16

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

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 674, 216, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 216, 16 is 2.

Therefore, GCD of numbers 674, 216, 16 is 2

Given Input Data is 674, 216, 16

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

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

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(674, 216) = 72792

GCD(674, 216) = ( 674 x 216 ) / 72792

GCD(674, 216) = 145584 / 72792

GCD(674, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

GCD of 674, 216, 16 is 2

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1. What is the GCD of 674, 216, 16?

GCD of 674, 216, 16 is 2

2. Where do I get the detailed procedure to find GCD of 674, 216, 16?

You can find a detailed procedure to find GCD of 674, 216, 16 on our page.

3. How to find GCD of 674, 216, 16 on a calculator?

You can find the GCD of 674, 216, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.