GCD of 166, 854, 240, 398 Calculator

Given Input numbers are 166, 854, 240, 398

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

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 166, 854, 240, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 854, 240, 398 is 2.

Therefore, GCD of numbers 166, 854, 240, 398 is 2

Given Input Data is 166, 854, 240, 398

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

Prime Factorization of 166 is 2 x 83

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 398 is 2 x 199

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(166, 854) = 70882

GCD(166, 854) = ( 166 x 854 ) / 70882

GCD(166, 854) = 141764 / 70882

GCD(166, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 166, 854, 240, 398 is 2

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1. What is the GCD of 166, 854, 240, 398?

GCD of 166, 854, 240, 398 is 2

2. Where do I get the detailed procedure to find GCD of 166, 854, 240, 398?

You can find a detailed procedure to find GCD of 166, 854, 240, 398 on our page.

3. How to find GCD of 166, 854, 240, 398 on a calculator?

You can find the GCD of 166, 854, 240, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.