GCD of 194, 798, 135, 310 Calculator

Given Input numbers are 194, 798, 135, 310

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

Divisors of 194

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

1, 2, 97, 194

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 194, 798, 135, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 798, 135, 310 is 1.

Therefore, GCD of numbers 194, 798, 135, 310 is 1

Given Input Data is 194, 798, 135, 310

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 310 is 2 x 5 x 31

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(194, 798) = 77406

GCD(194, 798) = ( 194 x 798 ) / 77406

GCD(194, 798) = 154812 / 77406

GCD(194, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 194, 798, 135, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 119, 464, 476
• GCD of 420, 144, 623, 557
• GCD of 159, 126, 905, 477
• GCD of 650, 483, 922, 724
• GCD of 178, 687, 942, 305

1. What is the GCD of 194, 798, 135, 310?

GCD of 194, 798, 135, 310 is 1

2. Where do I get the detailed procedure to find GCD of 194, 798, 135, 310?

You can find a detailed procedure to find GCD of 194, 798, 135, 310 on our page.

3. How to find GCD of 194, 798, 135, 310 on a calculator?

You can find the GCD of 194, 798, 135, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.