GCD of 496, 544, 32, 180 Calculator

Given Input numbers are 496, 544, 32, 180

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 496, 544, 32, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 544, 32, 180 is 4.

Therefore, GCD of numbers 496, 544, 32, 180 is 4

Given Input Data is 496, 544, 32, 180

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(496, 544) = 16864

GCD(496, 544) = ( 496 x 544 ) / 16864

GCD(496, 544) = 269824 / 16864

GCD(496, 544) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 32

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

LCM(16, 32) = 32

GCD(16, 32) = ( 16 x 32 ) / 32

GCD(16, 32) = 512 / 32

GCD(16, 32) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 180

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

LCM(16, 180) = 720

GCD(16, 180) = ( 16 x 180 ) / 720

GCD(16, 180) = 2880 / 720

GCD(16, 180) = 4

GCD of 496, 544, 32, 180 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 266, 50, 289
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• GCD of 748, 844, 32, 687

1. What is the GCD of 496, 544, 32, 180?

GCD of 496, 544, 32, 180 is 4

2. Where do I get the detailed procedure to find GCD of 496, 544, 32, 180?

You can find a detailed procedure to find GCD of 496, 544, 32, 180 on our page.

3. How to find GCD of 496, 544, 32, 180 on a calculator?

You can find the GCD of 496, 544, 32, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.