GCD of 344, 348, 269, 119 Calculator

Given Input numbers are 344, 348, 269, 119

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 344, 348, 269, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 348, 269, 119 is 1.

Therefore, GCD of numbers 344, 348, 269, 119 is 1

Given Input Data is 344, 348, 269, 119

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 348 is 2 x 2 x 3 x 29

Prime Factorization of 269 is 269

Prime Factorization of 119 is 7 x 17

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, 348) = 29928

GCD(344, 348) = ( 344 x 348 ) / 29928

GCD(344, 348) = 119712 / 29928

GCD(344, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 269

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

LCM(4, 269) = 1076

GCD(4, 269) = ( 4 x 269 ) / 1076

GCD(4, 269) = 1076 / 1076

GCD(4, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 344, 348, 269, 119 is 1

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1. What is the GCD of 344, 348, 269, 119?

GCD of 344, 348, 269, 119 is 1

2. Where do I get the detailed procedure to find GCD of 344, 348, 269, 119?

You can find a detailed procedure to find GCD of 344, 348, 269, 119 on our page.

3. How to find GCD of 344, 348, 269, 119 on a calculator?

You can find the GCD of 344, 348, 269, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.