GCD of 434, 210, 16, 106 Calculator

Given Input numbers are 434, 210, 16, 106

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 434, 210, 16, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 210, 16, 106 is 2.

Therefore, GCD of numbers 434, 210, 16, 106 is 2

Given Input Data is 434, 210, 16, 106

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

Prime Factorization of 434 is 2 x 7 x 31

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 106 is 2 x 53

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(434, 210) = 6510

GCD(434, 210) = ( 434 x 210 ) / 6510

GCD(434, 210) = 91140 / 6510

GCD(434, 210) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 16

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

LCM(14, 16) = 112

GCD(14, 16) = ( 14 x 16 ) / 112

GCD(14, 16) = 224 / 112

GCD(14, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 434, 210, 16, 106 is 2

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1. What is the GCD of 434, 210, 16, 106?

GCD of 434, 210, 16, 106 is 2

2. Where do I get the detailed procedure to find GCD of 434, 210, 16, 106?

You can find a detailed procedure to find GCD of 434, 210, 16, 106 on our page.

3. How to find GCD of 434, 210, 16, 106 on a calculator?

You can find the GCD of 434, 210, 16, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.