GCD of 816, 670, 238, 174 Calculator

Given Input numbers are 816, 670, 238, 174

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 816, 670, 238, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 670, 238, 174 is 2.

Therefore, GCD of numbers 816, 670, 238, 174 is 2

Given Input Data is 816, 670, 238, 174

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 238 is 2 x 7 x 17

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(816, 670) = 273360

GCD(816, 670) = ( 816 x 670 ) / 273360

GCD(816, 670) = 546720 / 273360

GCD(816, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 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 816, 670, 238, 174 is 2

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1. What is the GCD of 816, 670, 238, 174?

GCD of 816, 670, 238, 174 is 2

2. Where do I get the detailed procedure to find GCD of 816, 670, 238, 174?

You can find a detailed procedure to find GCD of 816, 670, 238, 174 on our page.

3. How to find GCD of 816, 670, 238, 174 on a calculator?

You can find the GCD of 816, 670, 238, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.