GCD of 122, 308, 779, 392 Calculator

Given Input numbers are 122, 308, 779, 392

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

Divisors of 122

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

1, 2, 61, 122

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

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

Greatest Common Divisior

We found the divisors of 122, 308, 779, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 308, 779, 392 is 1.

Therefore, GCD of numbers 122, 308, 779, 392 is 1

Given Input Data is 122, 308, 779, 392

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 779 is 19 x 41

Prime Factorization of 392 is 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(122, 308) = 18788

GCD(122, 308) = ( 122 x 308 ) / 18788

GCD(122, 308) = 37576 / 18788

GCD(122, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 122, 308, 779, 392 is 1

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1. What is the GCD of 122, 308, 779, 392?

GCD of 122, 308, 779, 392 is 1

2. Where do I get the detailed procedure to find GCD of 122, 308, 779, 392?

You can find a detailed procedure to find GCD of 122, 308, 779, 392 on our page.

3. How to find GCD of 122, 308, 779, 392 on a calculator?

You can find the GCD of 122, 308, 779, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.