GCD of 14, 444, 484, 602 Calculator

Given Input numbers are 14, 444, 484, 602

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 14, 444, 484, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 444, 484, 602 is 2.

Therefore, GCD of numbers 14, 444, 484, 602 is 2

Given Input Data is 14, 444, 484, 602

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 602 is 2 x 7 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(14, 444) = 3108

GCD(14, 444) = ( 14 x 444 ) / 3108

GCD(14, 444) = 6216 / 3108

GCD(14, 444) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 484

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

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

GCD(2, 484) = 968 / 484

GCD(2, 484) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

GCD of 14, 444, 484, 602 is 2

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• GCD of 64, 180, 501, 802
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1. What is the GCD of 14, 444, 484, 602?

GCD of 14, 444, 484, 602 is 2

2. Where do I get the detailed procedure to find GCD of 14, 444, 484, 602?

You can find a detailed procedure to find GCD of 14, 444, 484, 602 on our page.

3. How to find GCD of 14, 444, 484, 602 on a calculator?

You can find the GCD of 14, 444, 484, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.