GCD of 308, 112, 34, 376 Calculator

Given Input numbers are 308, 112, 34, 376

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 308, 112, 34, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 112, 34, 376 is 2.

Therefore, GCD of numbers 308, 112, 34, 376 is 2

Given Input Data is 308, 112, 34, 376

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 34 is 2 x 17

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(308, 112) = 1232

GCD(308, 112) = ( 308 x 112 ) / 1232

GCD(308, 112) = 34496 / 1232

GCD(308, 112) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 34

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

LCM(28, 34) = 476

GCD(28, 34) = ( 28 x 34 ) / 476

GCD(28, 34) = 952 / 476

GCD(28, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

GCD of 308, 112, 34, 376 is 2

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• GCD of 313, 758, 26, 134
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• GCD of 378, 145, 74, 184

1. What is the GCD of 308, 112, 34, 376?

GCD of 308, 112, 34, 376 is 2

2. Where do I get the detailed procedure to find GCD of 308, 112, 34, 376?

You can find a detailed procedure to find GCD of 308, 112, 34, 376 on our page.

3. How to find GCD of 308, 112, 34, 376 on a calculator?

You can find the GCD of 308, 112, 34, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.