GCD of 166, 240, 434, 366 Calculator

Given Input numbers are 166, 240, 434, 366

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 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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 166, 240, 434, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 166, 240, 434, 366 is 2.

Therefore, GCD of numbers 166, 240, 434, 366 is 2

Given Input Data is 166, 240, 434, 366

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

Prime Factorization of 166 is 2 x 83

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 366 is 2 x 3 x 61

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, 240) = 19920

GCD(166, 240) = ( 166 x 240 ) / 19920

GCD(166, 240) = 39840 / 19920

GCD(166, 240) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 434

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

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

GCD(2, 434) = 868 / 434

GCD(2, 434) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

GCD of 166, 240, 434, 366 is 2

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1. What is the GCD of 166, 240, 434, 366?

GCD of 166, 240, 434, 366 is 2

2. Where do I get the detailed procedure to find GCD of 166, 240, 434, 366?

You can find a detailed procedure to find GCD of 166, 240, 434, 366 on our page.

3. How to find GCD of 166, 240, 434, 366 on a calculator?

You can find the GCD of 166, 240, 434, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.