GCD of 732, 166, 114, 622 Calculator

Given Input numbers are 732, 166, 114, 622

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 166

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

1, 2, 83, 166

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 732, 166, 114, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 166, 114, 622 is 2.

Therefore, GCD of numbers 732, 166, 114, 622 is 2

Given Input Data is 732, 166, 114, 622

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 166 is 2 x 83

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 622 is 2 x 311

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(732, 166) = 60756

GCD(732, 166) = ( 732 x 166 ) / 60756

GCD(732, 166) = 121512 / 60756

GCD(732, 166) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

GCD of 732, 166, 114, 622 is 2

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1. What is the GCD of 732, 166, 114, 622?

GCD of 732, 166, 114, 622 is 2

2. Where do I get the detailed procedure to find GCD of 732, 166, 114, 622?

You can find a detailed procedure to find GCD of 732, 166, 114, 622 on our page.

3. How to find GCD of 732, 166, 114, 622 on a calculator?

You can find the GCD of 732, 166, 114, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.