GCD of 354, 210, 16, 284 Calculator

Given Input numbers are 354, 210, 16, 284

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 354, 210, 16, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 210, 16, 284 is 2.

Therefore, GCD of numbers 354, 210, 16, 284 is 2

Given Input Data is 354, 210, 16, 284

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 210 is 2 x 3 x 5 x 7

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

Prime Factorization of 284 is 2 x 2 x 71

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(354, 210) = 12390

GCD(354, 210) = ( 354 x 210 ) / 12390

GCD(354, 210) = 74340 / 12390

GCD(354, 210) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 354, 210, 16, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 929, 66, 457
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• GCD of 846, 643, 32, 568

1. What is the GCD of 354, 210, 16, 284?

GCD of 354, 210, 16, 284 is 2

2. Where do I get the detailed procedure to find GCD of 354, 210, 16, 284?

You can find a detailed procedure to find GCD of 354, 210, 16, 284 on our page.

3. How to find GCD of 354, 210, 16, 284 on a calculator?

You can find the GCD of 354, 210, 16, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.