GCD of 442, 374, 118, 174 Calculator

Given Input numbers are 442, 374, 118, 174

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 442, 374, 118, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 374, 118, 174 is 2.

Therefore, GCD of numbers 442, 374, 118, 174 is 2

Given Input Data is 442, 374, 118, 174

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 118 is 2 x 59

Prime Factorization of 174 is 2 x 3 x 29

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(442, 374) = 4862

GCD(442, 374) = ( 442 x 374 ) / 4862

GCD(442, 374) = 165308 / 4862

GCD(442, 374) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 118

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

LCM(34, 118) = 2006

GCD(34, 118) = ( 34 x 118 ) / 2006

GCD(34, 118) = 4012 / 2006

GCD(34, 118) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

GCD of 442, 374, 118, 174 is 2

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• GCD of 968, 434, 218, 738
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1. What is the GCD of 442, 374, 118, 174?

GCD of 442, 374, 118, 174 is 2

2. Where do I get the detailed procedure to find GCD of 442, 374, 118, 174?

You can find a detailed procedure to find GCD of 442, 374, 118, 174 on our page.

3. How to find GCD of 442, 374, 118, 174 on a calculator?

You can find the GCD of 442, 374, 118, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.