GCD of 374, 112, 26, 352 Calculator

Given Input numbers are 374, 112, 26, 352

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

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 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 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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

Greatest Common Divisior

We found the divisors of 374, 112, 26, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 112, 26, 352 is 2.

Therefore, GCD of numbers 374, 112, 26, 352 is 2

Given Input Data is 374, 112, 26, 352

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

Prime Factorization of 374 is 2 x 11 x 17

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

Prime Factorization of 26 is 2 x 13

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

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(374, 112) = 20944

GCD(374, 112) = ( 374 x 112 ) / 20944

GCD(374, 112) = 41888 / 20944

GCD(374, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

GCD of 374, 112, 26, 352 is 2

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1. What is the GCD of 374, 112, 26, 352?

GCD of 374, 112, 26, 352 is 2

2. Where do I get the detailed procedure to find GCD of 374, 112, 26, 352?

You can find a detailed procedure to find GCD of 374, 112, 26, 352 on our page.

3. How to find GCD of 374, 112, 26, 352 on a calculator?

You can find the GCD of 374, 112, 26, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.