GCD of 76, 390, 398, 226 Calculator

Given Input numbers are 76, 390, 398, 226

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 76, 390, 398, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 390, 398, 226 is 2.

Therefore, GCD of numbers 76, 390, 398, 226 is 2

Given Input Data is 76, 390, 398, 226

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

Prime Factorization of 76 is 2 x 2 x 19

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 226 is 2 x 113

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(76, 390) = 14820

GCD(76, 390) = ( 76 x 390 ) / 14820

GCD(76, 390) = 29640 / 14820

GCD(76, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 226

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

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

GCD(2, 226) = 452 / 226

GCD(2, 226) = 2

GCD of 76, 390, 398, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 398, 597, 326
• GCD of 74, 157, 580, 494
• GCD of 30, 966, 201, 248
• GCD of 59, 135, 124, 462
• GCD of 76, 372, 838, 282

1. What is the GCD of 76, 390, 398, 226?

GCD of 76, 390, 398, 226 is 2

2. Where do I get the detailed procedure to find GCD of 76, 390, 398, 226?

You can find a detailed procedure to find GCD of 76, 390, 398, 226 on our page.

3. How to find GCD of 76, 390, 398, 226 on a calculator?

You can find the GCD of 76, 390, 398, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.