GCD of 918, 166, 64, 232 Calculator

Given Input numbers are 918, 166, 64, 232

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 166

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

1, 2, 83, 166

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 918, 166, 64, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 166, 64, 232 is 2.

Therefore, GCD of numbers 918, 166, 64, 232 is 2

Given Input Data is 918, 166, 64, 232

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 166 is 2 x 83

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(918, 166) = 76194

GCD(918, 166) = ( 918 x 166 ) / 76194

GCD(918, 166) = 152388 / 76194

GCD(918, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 918, 166, 64, 232 is 2

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1. What is the GCD of 918, 166, 64, 232?

GCD of 918, 166, 64, 232 is 2

2. Where do I get the detailed procedure to find GCD of 918, 166, 64, 232?

You can find a detailed procedure to find GCD of 918, 166, 64, 232 on our page.

3. How to find GCD of 918, 166, 64, 232 on a calculator?

You can find the GCD of 918, 166, 64, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.