GCD of 132, 450, 14, 538 Calculator

Given Input numbers are 132, 450, 14, 538

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

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 14

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

1, 2, 7, 14

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 132, 450, 14, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 450, 14, 538 is 2.

Therefore, GCD of numbers 132, 450, 14, 538 is 2

Given Input Data is 132, 450, 14, 538

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

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 14 is 2 x 7

Prime Factorization of 538 is 2 x 269

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(132, 450) = 9900

GCD(132, 450) = ( 132 x 450 ) / 9900

GCD(132, 450) = 59400 / 9900

GCD(132, 450) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 14

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

LCM(6, 14) = 42

GCD(6, 14) = ( 6 x 14 ) / 42

GCD(6, 14) = 84 / 42

GCD(6, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 538

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

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

GCD(2, 538) = 1076 / 538

GCD(2, 538) = 2

GCD of 132, 450, 14, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 564, 22, 911
• GCD of 109, 731, 75, 754
• GCD of 372, 622, 81, 479
• GCD of 848, 831, 21, 528
• GCD of 516, 319, 91, 864

1. What is the GCD of 132, 450, 14, 538?

GCD of 132, 450, 14, 538 is 2

2. Where do I get the detailed procedure to find GCD of 132, 450, 14, 538?

You can find a detailed procedure to find GCD of 132, 450, 14, 538 on our page.

3. How to find GCD of 132, 450, 14, 538 on a calculator?

You can find the GCD of 132, 450, 14, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.