GCD of 392, 348, 79, 784 Calculator

Given Input numbers are 392, 348, 79, 784

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 392, 348, 79, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 348, 79, 784 is 1.

Therefore, GCD of numbers 392, 348, 79, 784 is 1

Given Input Data is 392, 348, 79, 784

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 348 is 2 x 2 x 3 x 29

Prime Factorization of 79 is 79

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 348) = 34104

GCD(392, 348) = ( 392 x 348 ) / 34104

GCD(392, 348) = 136416 / 34104

GCD(392, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 79

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

LCM(4, 79) = 316

GCD(4, 79) = ( 4 x 79 ) / 316

GCD(4, 79) = 316 / 316

GCD(4, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 392, 348, 79, 784 is 1

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• GCD of 170, 118, 26, 387
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1. What is the GCD of 392, 348, 79, 784?

GCD of 392, 348, 79, 784 is 1

2. Where do I get the detailed procedure to find GCD of 392, 348, 79, 784?

You can find a detailed procedure to find GCD of 392, 348, 79, 784 on our page.

3. How to find GCD of 392, 348, 79, 784 on a calculator?

You can find the GCD of 392, 348, 79, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.