GCD of 144, 332, 46, 538 Calculator

Given Input numbers are 144, 332, 46, 538

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 144, 332, 46, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 332, 46, 538 is 2.

Therefore, GCD of numbers 144, 332, 46, 538 is 2

Given Input Data is 144, 332, 46, 538

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 46 is 2 x 23

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(144, 332) = 11952

GCD(144, 332) = ( 144 x 332 ) / 11952

GCD(144, 332) = 47808 / 11952

GCD(144, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 46

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

LCM(4, 46) = 92

GCD(4, 46) = ( 4 x 46 ) / 92

GCD(4, 46) = 184 / 92

GCD(4, 46) = 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 144, 332, 46, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 547, 82, 377
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• GCD of 931, 943, 72, 501

1. What is the GCD of 144, 332, 46, 538?

GCD of 144, 332, 46, 538 is 2

2. Where do I get the detailed procedure to find GCD of 144, 332, 46, 538?

You can find a detailed procedure to find GCD of 144, 332, 46, 538 on our page.

3. How to find GCD of 144, 332, 46, 538 on a calculator?

You can find the GCD of 144, 332, 46, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.