GCD of 19, 266, 169, 395 Calculator

Given Input numbers are 19, 266, 169, 395

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 19, 266, 169, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 266, 169, 395 is 1.

Therefore, GCD of numbers 19, 266, 169, 395 is 1

Given Input Data is 19, 266, 169, 395

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

Prime Factorization of 19 is 19

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 169 is 13 x 13

Prime Factorization of 395 is 5 x 79

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(19, 266) = 266

GCD(19, 266) = ( 19 x 266 ) / 266

GCD(19, 266) = 5054 / 266

GCD(19, 266) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 169

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

LCM(19, 169) = 3211

GCD(19, 169) = ( 19 x 169 ) / 3211

GCD(19, 169) = 3211 / 3211

GCD(19, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 395

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

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

GCD(1, 395) = 395 / 395

GCD(1, 395) = 1

GCD of 19, 266, 169, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 722, 409, 951
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• GCD of 38, 169, 498, 277
• GCD of 84, 161, 145, 505
• GCD of 22, 627, 182, 122

1. What is the GCD of 19, 266, 169, 395?

GCD of 19, 266, 169, 395 is 1

2. Where do I get the detailed procedure to find GCD of 19, 266, 169, 395?

You can find a detailed procedure to find GCD of 19, 266, 169, 395 on our page.

3. How to find GCD of 19, 266, 169, 395 on a calculator?

You can find the GCD of 19, 266, 169, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.