GCD of 14, 506, 362, 132 Calculator

Given Input numbers are 14, 506, 362, 132

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 14, 506, 362, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 506, 362, 132 is 2.

Therefore, GCD of numbers 14, 506, 362, 132 is 2

Given Input Data is 14, 506, 362, 132

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 362 is 2 x 181

Prime Factorization of 132 is 2 x 2 x 3 x 11

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, 506) = 3542

GCD(14, 506) = ( 14 x 506 ) / 3542

GCD(14, 506) = 7084 / 3542

GCD(14, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 14, 506, 362, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 593, 856, 658
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• GCD of 39, 927, 948, 419

1. What is the GCD of 14, 506, 362, 132?

GCD of 14, 506, 362, 132 is 2

2. Where do I get the detailed procedure to find GCD of 14, 506, 362, 132?

You can find a detailed procedure to find GCD of 14, 506, 362, 132 on our page.

3. How to find GCD of 14, 506, 362, 132 on a calculator?

You can find the GCD of 14, 506, 362, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.