GCD of 308, 427, 29, 194 Calculator

Given Input numbers are 308, 427, 29, 194

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

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 308, 427, 29, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 427, 29, 194 is 1.

Therefore, GCD of numbers 308, 427, 29, 194 is 1

Given Input Data is 308, 427, 29, 194

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

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 29 is 29

Prime Factorization of 194 is 2 x 97

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(308, 427) = 18788

GCD(308, 427) = ( 308 x 427 ) / 18788

GCD(308, 427) = 131516 / 18788

GCD(308, 427) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 29

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

LCM(7, 29) = 203

GCD(7, 29) = ( 7 x 29 ) / 203

GCD(7, 29) = 203 / 203

GCD(7, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 308, 427, 29, 194 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 186, 64, 446
• GCD of 196, 468, 66, 313
• GCD of 516, 133, 14, 413
• GCD of 113, 989, 69, 761
• GCD of 540, 306, 79, 323

1. What is the GCD of 308, 427, 29, 194?

GCD of 308, 427, 29, 194 is 1

2. Where do I get the detailed procedure to find GCD of 308, 427, 29, 194?

You can find a detailed procedure to find GCD of 308, 427, 29, 194 on our page.

3. How to find GCD of 308, 427, 29, 194 on a calculator?

You can find the GCD of 308, 427, 29, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.