GCD of 238, 382, 786, 170 Calculator

Given Input numbers are 238, 382, 786, 170

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 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 238, 382, 786, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 382, 786, 170 is 2.

Therefore, GCD of numbers 238, 382, 786, 170 is 2

Given Input Data is 238, 382, 786, 170

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 382 is 2 x 191

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 170 is 2 x 5 x 17

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, 382) = 45458

GCD(238, 382) = ( 238 x 382 ) / 45458

GCD(238, 382) = 90916 / 45458

GCD(238, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 170

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

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

GCD(2, 170) = 340 / 170

GCD(2, 170) = 2

GCD of 238, 382, 786, 170 is 2

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1. What is the GCD of 238, 382, 786, 170?

GCD of 238, 382, 786, 170 is 2

2. Where do I get the detailed procedure to find GCD of 238, 382, 786, 170?

You can find a detailed procedure to find GCD of 238, 382, 786, 170 on our page.

3. How to find GCD of 238, 382, 786, 170 on a calculator?

You can find the GCD of 238, 382, 786, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.