Question

What is Euclid's algorithm for finding the greatest common divisor between two numbers?

Answer 1

Euclid's algorithm is a method for finding the greatest common divisor of two numbers. It involves dividing the larger number by the smaller number and finding the remainder until the remainder is 0. The GCD is the last non-zero remainder.

Step-by-step explanation:

The algorithm developed by Euclid to find the greatest common divisor (GCD) of two numbers is known as Euclid's algorithm. Here is a step-by-step explanation:

1. Start with two numbers, let's say m and n.
2. Divide the larger number by the smaller number and find the remainder.
3. If the remainder is 0, then the smaller number is the GCD.
4. If the remainder is not 0, then replace the larger number with the smaller number, and the smaller number with the remainder.
5. Repeat steps 2-4 until the remainder is 0. The GCD is the last non-zero remainder.

For example, let's find the GCD of 24 and 36:

1. Divide 36 by 24, the remainder is 12.
2. Divide 24 by 12, the remainder is 0.

So, the GCD of 24 and 36 is 12.A data point refers to a specific observation or measurement in a dataset. In this case, the survey of 25 people recorded each person's family size and type of car.

So, the 14th person's family size and car type is a data point because it represents a specific observation within the dataset. It provides information about the family size and car type of the 14th person in the survey.