GCD of 950, 406, 422, 174 Calculator

Given Input numbers are 950, 406, 422, 174

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

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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 950, 406, 422, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 406, 422, 174 is 2.

Therefore, GCD of numbers 950, 406, 422, 174 is 2

Given Input Data is 950, 406, 422, 174

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

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 422 is 2 x 211

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(950, 406) = 192850

GCD(950, 406) = ( 950 x 406 ) / 192850

GCD(950, 406) = 385700 / 192850

GCD(950, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 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 950, 406, 422, 174 is 2

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• GCD of 837, 879, 485, 144
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1. What is the GCD of 950, 406, 422, 174?

GCD of 950, 406, 422, 174 is 2

2. Where do I get the detailed procedure to find GCD of 950, 406, 422, 174?

You can find a detailed procedure to find GCD of 950, 406, 422, 174 on our page.

3. How to find GCD of 950, 406, 422, 174 on a calculator?

You can find the GCD of 950, 406, 422, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.