GCD of 238, 146, 50, 106 Calculator

Given Input numbers are 238, 146, 50, 106

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

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 238, 146, 50, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 146, 50, 106 is 2.

Therefore, GCD of numbers 238, 146, 50, 106 is 2

Given Input Data is 238, 146, 50, 106

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 146 is 2 x 73

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 106 is 2 x 53

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(238, 146) = 17374

GCD(238, 146) = ( 238 x 146 ) / 17374

GCD(238, 146) = 34748 / 17374

GCD(238, 146) = 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 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 238, 146, 50, 106 is 2

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1. What is the GCD of 238, 146, 50, 106?

GCD of 238, 146, 50, 106 is 2

2. Where do I get the detailed procedure to find GCD of 238, 146, 50, 106?

You can find a detailed procedure to find GCD of 238, 146, 50, 106 on our page.

3. How to find GCD of 238, 146, 50, 106 on a calculator?

You can find the GCD of 238, 146, 50, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.