GCD of 646, 396, 114 Calculator

Given Input numbers are 646, 396, 114

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 114

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

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

Greatest Common Divisior

We found the divisors of 646, 396, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 396, 114 is 2.

Therefore, GCD of numbers 646, 396, 114 is 2

Given Input Data is 646, 396, 114

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 114 is 2 x 3 x 19

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(646, 396) = 127908

GCD(646, 396) = ( 646 x 396 ) / 127908

GCD(646, 396) = 255816 / 127908

GCD(646, 396) = 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

GCD of 646, 396, 114 is 2

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1. What is the GCD of 646, 396, 114?

GCD of 646, 396, 114 is 2

2. Where do I get the detailed procedure to find GCD of 646, 396, 114?

You can find a detailed procedure to find GCD of 646, 396, 114 on our page.

3. How to find GCD of 646, 396, 114 on a calculator?

You can find the GCD of 646, 396, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.