GCD of 368, 730, 392, 588 Calculator

Given Input numbers are 368, 730, 392, 588

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 368, 730, 392, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 730, 392, 588 is 2.

Therefore, GCD of numbers 368, 730, 392, 588 is 2

Given Input Data is 368, 730, 392, 588

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(368, 730) = 134320

GCD(368, 730) = ( 368 x 730 ) / 134320

GCD(368, 730) = 268640 / 134320

GCD(368, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 392

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

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

GCD(2, 392) = 784 / 392

GCD(2, 392) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 368, 730, 392, 588 is 2

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1. What is the GCD of 368, 730, 392, 588?

GCD of 368, 730, 392, 588 is 2

2. Where do I get the detailed procedure to find GCD of 368, 730, 392, 588?

You can find a detailed procedure to find GCD of 368, 730, 392, 588 on our page.

3. How to find GCD of 368, 730, 392, 588 on a calculator?

You can find the GCD of 368, 730, 392, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.