GCD of 392, 122, 849 Calculator

Given Input numbers are 392, 122, 849

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 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 392, 122, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 122, 849 is 1.

Therefore, GCD of numbers 392, 122, 849 is 1

Given Input Data is 392, 122, 849

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 122 is 2 x 61

Prime Factorization of 849 is 3 x 283

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, 122) = 23912

GCD(392, 122) = ( 392 x 122 ) / 23912

GCD(392, 122) = 47824 / 23912

GCD(392, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

GCD of 392, 122, 849 is 1

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1. What is the GCD of 392, 122, 849?

GCD of 392, 122, 849 is 1

2. Where do I get the detailed procedure to find GCD of 392, 122, 849?

You can find a detailed procedure to find GCD of 392, 122, 849 on our page.

3. How to find GCD of 392, 122, 849 on a calculator?

You can find the GCD of 392, 122, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.