The lcm and gcd are both elements of a

Assignment Help Mathematics

Reference no: EM133046385

Number Theory and Counting Assignment

Question: Take a set A of positive integers. Let |A| = 3.

Are the following possible:

The least common multiple and the greatest common divider are the same. _______

The LCM and GCD are both elements of A. _______

The GCD of A is not the GCD of every pair of elements from A. _______

The GCD is strictly greater than 1, and the LCM is the product of all elements of A. _______

Two pairs of numbers are coprime, and one pair of numbers is not coprime. _______

Two of the three numbers are coprime; the third number is the sum of the other two and is not coprime with the others. _______

The GCD is strictly greater than 1, and the numbers are consecutive. _______

Reference no: EM133046385

Questions Cloud

Calculate the end of quarter dividends : Calculate the end of quarter dividends that it will pay in perpetuity at a dividend rate of 4.7% compounded quarterly of the purchase price

How do you analyze the centralized economic system : How do you analyze the centralized economic system. Then, what is the economic system This is advantageous for companies that are going to expand their market t

Political risks for selling a product in the usa : Question 1: What are the political risks for selling a product in the USA.

Determine the futures price at the end of week : At the end of week 2, Mr. Smith receives a margin call in the amount of 12,345. Determine the S&P 500 futures price at the end of week 2

The lcm and gcd are both elements of a : Number Theory and Counting Assignment - Take a set A of positive integers - The least common multiple and the greatest common divider are the same

Summarize the health care offering : Identify and summarize the health care offering. Who/what is the target market? What is the projected value to the consumer? To the provider?

Lesson module on international trade and fdi : After reading the prescribed sections of Chapters 6, 7, and 8 Lesson Module on International Trade and FDI in the textbook

Explain the hypothetical and categorical imperative : What is the difference between a hypothetical and a categorical imperative? Which kind of imperative does morality involve and why?

Identify structural behavior and intersectional attributes : Identify structural behavior and intersectional (relationship) attributes of your current or most recent employer's organization.

User Account

All Pages