GCD of 442, 624, 86 Calculator

Given Input numbers are 442, 624, 86

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Greatest Common Divisior

We found the divisors of 442, 624, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 624, 86 is 2.

Therefore, GCD of numbers 442, 624, 86 is 2

Given Input Data is 442, 624, 86

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 86 is 2 x 43

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(442, 624) = 10608

GCD(442, 624) = ( 442 x 624 ) / 10608

GCD(442, 624) = 275808 / 10608

GCD(442, 624) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 86

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

LCM(26, 86) = 1118

GCD(26, 86) = ( 26 x 86 ) / 1118

GCD(26, 86) = 2236 / 1118

GCD(26, 86) = 2

GCD of 442, 624, 86 is 2

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• GCD of 905, 401, 75
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1. What is the GCD of 442, 624, 86?

GCD of 442, 624, 86 is 2

2. Where do I get the detailed procedure to find GCD of 442, 624, 86?

You can find a detailed procedure to find GCD of 442, 624, 86 on our page.

3. How to find GCD of 442, 624, 86 on a calculator?

You can find the GCD of 442, 624, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.