GCD of 212, 352, 14, 346 Calculator

Given Input numbers are 212, 352, 14, 346

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 212, 352, 14, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 352, 14, 346 is 2.

Therefore, GCD of numbers 212, 352, 14, 346 is 2

Given Input Data is 212, 352, 14, 346

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 14 is 2 x 7

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(212, 352) = 18656

GCD(212, 352) = ( 212 x 352 ) / 18656

GCD(212, 352) = 74624 / 18656

GCD(212, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 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 212, 352, 14, 346 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 130, 15, 882
• GCD of 146, 304, 47, 294
• GCD of 345, 274, 48, 669
• GCD of 114, 471, 17, 434
• GCD of 443, 244, 24, 380

1. What is the GCD of 212, 352, 14, 346?

GCD of 212, 352, 14, 346 is 2

2. Where do I get the detailed procedure to find GCD of 212, 352, 14, 346?

You can find a detailed procedure to find GCD of 212, 352, 14, 346 on our page.

3. How to find GCD of 212, 352, 14, 346 on a calculator?

You can find the GCD of 212, 352, 14, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.