GCD of 898, 734, 14, 226 Calculator

Given Input numbers are 898, 734, 14, 226

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 898, 734, 14, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 734, 14, 226 is 2.

Therefore, GCD of numbers 898, 734, 14, 226 is 2

Given Input Data is 898, 734, 14, 226

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 734 is 2 x 367

Prime Factorization of 14 is 2 x 7

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(898, 734) = 329566

GCD(898, 734) = ( 898 x 734 ) / 329566

GCD(898, 734) = 659132 / 329566

GCD(898, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 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 898, 734, 14, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 196, 72, 224
• GCD of 142, 676, 21, 188
• GCD of 713, 303, 93, 192
• GCD of 688, 635, 25, 275
• GCD of 769, 855, 23, 142

1. What is the GCD of 898, 734, 14, 226?

GCD of 898, 734, 14, 226 is 2

2. Where do I get the detailed procedure to find GCD of 898, 734, 14, 226?

You can find a detailed procedure to find GCD of 898, 734, 14, 226 on our page.

3. How to find GCD of 898, 734, 14, 226 on a calculator?

You can find the GCD of 898, 734, 14, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.