GCD of 730, 392, 88, 384 Calculator

Given Input numbers are 730, 392, 88, 384

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 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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 730, 392, 88, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 392, 88, 384 is 2.

Therefore, GCD of numbers 730, 392, 88, 384 is 2

Given Input Data is 730, 392, 88, 384

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 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 392) = 143080

GCD(730, 392) = ( 730 x 392 ) / 143080

GCD(730, 392) = 286160 / 143080

GCD(730, 392) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 384

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

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

GCD(2, 384) = 768 / 384

GCD(2, 384) = 2

GCD of 730, 392, 88, 384 is 2

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1. What is the GCD of 730, 392, 88, 384?

GCD of 730, 392, 88, 384 is 2

2. Where do I get the detailed procedure to find GCD of 730, 392, 88, 384?

You can find a detailed procedure to find GCD of 730, 392, 88, 384 on our page.

3. How to find GCD of 730, 392, 88, 384 on a calculator?

You can find the GCD of 730, 392, 88, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.