GCD of 888, 414, 166, 298 Calculator

Given Input numbers are 888, 414, 166, 298

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

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 166

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

1, 2, 83, 166

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 888, 414, 166, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 888, 414, 166, 298 is 2.

Therefore, GCD of numbers 888, 414, 166, 298 is 2

Given Input Data is 888, 414, 166, 298

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

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 166 is 2 x 83

Prime Factorization of 298 is 2 x 149

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(888, 414) = 61272

GCD(888, 414) = ( 888 x 414 ) / 61272

GCD(888, 414) = 367632 / 61272

GCD(888, 414) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 166

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

LCM(6, 166) = 498

GCD(6, 166) = ( 6 x 166 ) / 498

GCD(6, 166) = 996 / 498

GCD(6, 166) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

GCD of 888, 414, 166, 298 is 2

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• GCD of 645, 181, 297, 275
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1. What is the GCD of 888, 414, 166, 298?

GCD of 888, 414, 166, 298 is 2

2. Where do I get the detailed procedure to find GCD of 888, 414, 166, 298?

You can find a detailed procedure to find GCD of 888, 414, 166, 298 on our page.

3. How to find GCD of 888, 414, 166, 298 on a calculator?

You can find the GCD of 888, 414, 166, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.