GCD of 132, 916, 538, 290 Calculator

Given Input numbers are 132, 916, 538, 290

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 538

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

1, 2, 269, 538

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 132, 916, 538, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 916, 538, 290 is 2.

Therefore, GCD of numbers 132, 916, 538, 290 is 2

Given Input Data is 132, 916, 538, 290

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 916 is 2 x 2 x 229

Prime Factorization of 538 is 2 x 269

Prime Factorization of 290 is 2 x 5 x 29

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, 916) = 30228

GCD(132, 916) = ( 132 x 916 ) / 30228

GCD(132, 916) = 120912 / 30228

GCD(132, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 538

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

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

GCD(4, 538) = 2152 / 1076

GCD(4, 538) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 132, 916, 538, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 295, 665, 879
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1. What is the GCD of 132, 916, 538, 290?

GCD of 132, 916, 538, 290 is 2

2. Where do I get the detailed procedure to find GCD of 132, 916, 538, 290?

You can find a detailed procedure to find GCD of 132, 916, 538, 290 on our page.

3. How to find GCD of 132, 916, 538, 290 on a calculator?

You can find the GCD of 132, 916, 538, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.