GCD of 392, 730, 382, 292 Calculator

Given Input numbers are 392, 730, 382, 292

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

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 730

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

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 392, 730, 382, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 730, 382, 292 is 2.

Therefore, GCD of numbers 392, 730, 382, 292 is 2

Given Input Data is 392, 730, 382, 292

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

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 382 is 2 x 191

Prime Factorization of 292 is 2 x 2 x 73

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(392, 730) = 143080

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

GCD(392, 730) = 286160 / 143080

GCD(392, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

GCD of 392, 730, 382, 292 is 2

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1. What is the GCD of 392, 730, 382, 292?

GCD of 392, 730, 382, 292 is 2

2. Where do I get the detailed procedure to find GCD of 392, 730, 382, 292?

You can find a detailed procedure to find GCD of 392, 730, 382, 292 on our page.

3. How to find GCD of 392, 730, 382, 292 on a calculator?

You can find the GCD of 392, 730, 382, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.