GCD of 496, 534, 20, 184 Calculator

Given Input numbers are 496, 534, 20, 184

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 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 496, 534, 20, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 534, 20, 184 is 2.

Therefore, GCD of numbers 496, 534, 20, 184 is 2

Given Input Data is 496, 534, 20, 184

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 534 is 2 x 3 x 89

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(496, 534) = 132432

GCD(496, 534) = ( 496 x 534 ) / 132432

GCD(496, 534) = 264864 / 132432

GCD(496, 534) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

GCD of 496, 534, 20, 184 is 2

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• GCD of 694, 138, 82, 151
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1. What is the GCD of 496, 534, 20, 184?

GCD of 496, 534, 20, 184 is 2

2. Where do I get the detailed procedure to find GCD of 496, 534, 20, 184?

You can find a detailed procedure to find GCD of 496, 534, 20, 184 on our page.

3. How to find GCD of 496, 534, 20, 184 on a calculator?

You can find the GCD of 496, 534, 20, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.