GCD of 344, 209, 36, 295 Calculator

Given Input numbers are 344, 209, 36, 295

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 344, 209, 36, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 209, 36, 295 is 1.

Therefore, GCD of numbers 344, 209, 36, 295 is 1

Given Input Data is 344, 209, 36, 295

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 209 is 11 x 19

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 295 is 5 x 59

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(344, 209) = 71896

GCD(344, 209) = ( 344 x 209 ) / 71896

GCD(344, 209) = 71896 / 71896

GCD(344, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 344, 209, 36, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 647, 17, 462
• GCD of 104, 591, 45, 688
• GCD of 210, 743, 83, 410
• GCD of 321, 538, 31, 130
• GCD of 277, 838, 35, 677

1. What is the GCD of 344, 209, 36, 295?

GCD of 344, 209, 36, 295 is 1

2. Where do I get the detailed procedure to find GCD of 344, 209, 36, 295?

You can find a detailed procedure to find GCD of 344, 209, 36, 295 on our page.

3. How to find GCD of 344, 209, 36, 295 on a calculator?

You can find the GCD of 344, 209, 36, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.