GCD of 104, 374, 434, 212 Calculator

Given Input numbers are 104, 374, 434, 212

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

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 212

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

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 104, 374, 434, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 374, 434, 212 is 2.

Therefore, GCD of numbers 104, 374, 434, 212 is 2

Given Input Data is 104, 374, 434, 212

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 212 is 2 x 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(104, 374) = 19448

GCD(104, 374) = ( 104 x 374 ) / 19448

GCD(104, 374) = 38896 / 19448

GCD(104, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 212

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

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

GCD(2, 212) = 424 / 212

GCD(2, 212) = 2

GCD of 104, 374, 434, 212 is 2

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1. What is the GCD of 104, 374, 434, 212?

GCD of 104, 374, 434, 212 is 2

2. Where do I get the detailed procedure to find GCD of 104, 374, 434, 212?

You can find a detailed procedure to find GCD of 104, 374, 434, 212 on our page.

3. How to find GCD of 104, 374, 434, 212 on a calculator?

You can find the GCD of 104, 374, 434, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.