GCD of 194, 268, 390 Calculator

Given Input numbers are 194, 268, 390

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 194, 268, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 268, 390 is 2.

Therefore, GCD of numbers 194, 268, 390 is 2

Given Input Data is 194, 268, 390

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 390 is 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 268) = 25996

GCD(194, 268) = ( 194 x 268 ) / 25996

GCD(194, 268) = 51992 / 25996

GCD(194, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 390

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

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

GCD(2, 390) = 780 / 390

GCD(2, 390) = 2

GCD of 194, 268, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 977, 156
• GCD of 272, 784, 857
• GCD of 941, 660, 808
• GCD of 914, 425, 186
• GCD of 551, 954, 457

1. What is the GCD of 194, 268, 390?

GCD of 194, 268, 390 is 2

2. Where do I get the detailed procedure to find GCD of 194, 268, 390?

You can find a detailed procedure to find GCD of 194, 268, 390 on our page.

3. How to find GCD of 194, 268, 390 on a calculator?

You can find the GCD of 194, 268, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.