GCD of 814, 198, 260, 106 Calculator

Given Input numbers are 814, 198, 260, 106

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 814, 198, 260, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 198, 260, 106 is 2.

Therefore, GCD of numbers 814, 198, 260, 106 is 2

Given Input Data is 814, 198, 260, 106

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 106 is 2 x 53

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(814, 198) = 7326

GCD(814, 198) = ( 814 x 198 ) / 7326

GCD(814, 198) = 161172 / 7326

GCD(814, 198) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 260

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

LCM(22, 260) = 2860

GCD(22, 260) = ( 22 x 260 ) / 2860

GCD(22, 260) = 5720 / 2860

GCD(22, 260) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

GCD of 814, 198, 260, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 265, 415, 873
• GCD of 498, 804, 198, 636
• GCD of 111, 117, 535, 455
• GCD of 613, 113, 796, 318
• GCD of 430, 416, 557, 535

1. What is the GCD of 814, 198, 260, 106?

GCD of 814, 198, 260, 106 is 2

2. Where do I get the detailed procedure to find GCD of 814, 198, 260, 106?

You can find a detailed procedure to find GCD of 814, 198, 260, 106 on our page.

3. How to find GCD of 814, 198, 260, 106 on a calculator?

You can find the GCD of 814, 198, 260, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.