GCD of 392, 208, 91, 303 Calculator

Given Input numbers are 392, 208, 91, 303

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 392, 208, 91, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 208, 91, 303 is 1.

Therefore, GCD of numbers 392, 208, 91, 303 is 1

Given Input Data is 392, 208, 91, 303

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 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 91 is 7 x 13

Prime Factorization of 303 is 3 x 101

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, 208) = 10192

GCD(392, 208) = ( 392 x 208 ) / 10192

GCD(392, 208) = 81536 / 10192

GCD(392, 208) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 91

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

LCM(8, 91) = 728

GCD(8, 91) = ( 8 x 91 ) / 728

GCD(8, 91) = 728 / 728

GCD(8, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 392, 208, 91, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 631, 68, 238
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• GCD of 152, 606, 16, 981

1. What is the GCD of 392, 208, 91, 303?

GCD of 392, 208, 91, 303 is 1

2. Where do I get the detailed procedure to find GCD of 392, 208, 91, 303?

You can find a detailed procedure to find GCD of 392, 208, 91, 303 on our page.

3. How to find GCD of 392, 208, 91, 303 on a calculator?

You can find the GCD of 392, 208, 91, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.