GCD of 174, 218, 50, 874 Calculator

Given Input numbers are 174, 218, 50, 874

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

Divisors of 174

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

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 174, 218, 50, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 218, 50, 874 is 2.

Therefore, GCD of numbers 174, 218, 50, 874 is 2

Given Input Data is 174, 218, 50, 874

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 218 is 2 x 109

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 874 is 2 x 19 x 23

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(174, 218) = 18966

GCD(174, 218) = ( 174 x 218 ) / 18966

GCD(174, 218) = 37932 / 18966

GCD(174, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 174, 218, 50, 874 is 2

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1. What is the GCD of 174, 218, 50, 874?

GCD of 174, 218, 50, 874 is 2

2. Where do I get the detailed procedure to find GCD of 174, 218, 50, 874?

You can find a detailed procedure to find GCD of 174, 218, 50, 874 on our page.

3. How to find GCD of 174, 218, 50, 874 on a calculator?

You can find the GCD of 174, 218, 50, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.