GCD of 730, 492, 438, 548 Calculator

Given Input numbers are 730, 492, 438, 548

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 730, 492, 438, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 492, 438, 548 is 2.

Therefore, GCD of numbers 730, 492, 438, 548 is 2

Given Input Data is 730, 492, 438, 548

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 548 is 2 x 2 x 137

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(730, 492) = 179580

GCD(730, 492) = ( 730 x 492 ) / 179580

GCD(730, 492) = 359160 / 179580

GCD(730, 492) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

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

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 548

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

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

GCD(2, 548) = 1096 / 548

GCD(2, 548) = 2

GCD of 730, 492, 438, 548 is 2

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1. What is the GCD of 730, 492, 438, 548?

GCD of 730, 492, 438, 548 is 2

2. Where do I get the detailed procedure to find GCD of 730, 492, 438, 548?

You can find a detailed procedure to find GCD of 730, 492, 438, 548 on our page.

3. How to find GCD of 730, 492, 438, 548 on a calculator?

You can find the GCD of 730, 492, 438, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.