Finnding greates common denoinator

[Physics_MHS]

Homework Statement

Find GCD of the following #S
2.3, 1.8, 3, 2.5, 1.7, 2.3, 3.4,
2.6, 3.1, 3, 2.5, 1.7, 2.3, 3.9,
3.1, 3.2, 3, 2.6, 1.8, 2.4, 4,
3.9, 3.6, 3.3, 3.5, 2.3, 2.6, 4.5,
4.3, 3.8, 3.3, 3.6, 3.5, 3.3, 4.7,
4.4, 4.5, 3.4, 4.4, 3.8, 3.9, 4.8,
4.4, 4.9, 5, 4.5, 3.9, 4.4, 5.4,
4.6, 5.6, 5, 4.7, 4.3, 5.1, 5.4,
5.5, 5.7, 5.8, 5.7, 4.5, 5.5, 5.6,
5.9, 6.2, 6.2, 6.3, 5.5, 6.4, 6.3,

Homework Equations

The Attempt at a Solution

Didnt know where to start

 

[awvvu]

What does the GCD of non-integers even mean? But the first step would be to remove duplicates and possibly sort them.

edit: they appear to be in order going vertically. Dunno what that means though.

 

[Moetasim]

, sorry

As a scientist, it is important to approach problems with a systematic and analytical mindset. In this case, we are being asked to find the greatest common denominator (GCD) of a set of numbers. The GCD is the largest number that divides evenly into all of the numbers in the set.

To find the GCD, we can use the Euclidean algorithm. This involves finding the remainder when dividing the larger number by the smaller number, and then using that remainder as the new smaller number in the next iteration. This process is repeated until the remainder is 0, at which point the last non-zero remainder is the GCD.

In this case, we can start by comparing the first two numbers, 2.3 and 1.8. When we divide 2.3 by 1.8, we get a remainder of 0.5. We then use this remainder (0.5) as the smaller number in the next iteration, and divide it by the next number in the set (3). We continue this process until we have gone through all the numbers in the set.

After completing this process, we find that the GCD of all the numbers in the set is 0.1. This means that 0.1 is the largest number that divides evenly into all the numbers in the set.

In conclusion, by using the Euclidean algorithm, we can find the greatest common denominator of a set of numbers. This process can be applied to any set of numbers, making it a useful tool for finding common factors in scientific research and calculations.