GCD of 344, 305, 49, 893 Calculator

Given Input numbers are 344, 305, 49, 893

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 344, 305, 49, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 305, 49, 893 is 1.

Therefore, GCD of numbers 344, 305, 49, 893 is 1

Given Input Data is 344, 305, 49, 893

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 305 is 5 x 61

Prime Factorization of 49 is 7 x 7

Prime Factorization of 893 is 19 x 47

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, 305) = 104920

GCD(344, 305) = ( 344 x 305 ) / 104920

GCD(344, 305) = 104920 / 104920

GCD(344, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 344, 305, 49, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 129, 12, 572
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• GCD of 971, 349, 49, 384

1. What is the GCD of 344, 305, 49, 893?

GCD of 344, 305, 49, 893 is 1

2. Where do I get the detailed procedure to find GCD of 344, 305, 49, 893?

You can find a detailed procedure to find GCD of 344, 305, 49, 893 on our page.

3. How to find GCD of 344, 305, 49, 893 on a calculator?

You can find the GCD of 344, 305, 49, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.