Introduction
Imagine you are part of a school committee preparing for a food fair. You need to organize snacks and drinks in such a way that everything is shared equally among students—without leftovers and without waste.
But here’s the challenge: how do you know the best way to group items evenly?
In this WebQuest, you will become a Food Fair Organizer. Your mission is to explore the concept of the Greatest Common Divisor (GCD) and use it to solve real-life sharing problems in a fun and practical way.
Get ready to plan, solve, and think like a real problem solver!
Task
By the end of this WebQuest, you will be able to:
- Explain what the Greatest Common Divisor (GCD) is
- Identify different methods in finding GCD
- Solve real-life sharing and grouping problems using GCD
- Create your own real-life GCD problem based on a food fair scenario
Your Final Outputs:
- A short PPT, infographic, or video explaining GCD
- A mind map about GCD and its uses
- A comment on a discussion post with a real-life example
- A compiled collection of your outputs in Wakelet
Process
Step 1: Learn Using NotebookLM
Go to: https://notebooklm.google/
Create an account and use the information below to generate learning materials (infographic, flashcards, or video script):
📘 Understanding GCD
The Greatest Common Divisor (GCD), also called the Highest Common Factor (HCF), is the largest number that can divide two or more numbers exactly without leaving any remainder.
It helps in grouping or sharing things equally in real life.
✏️ Method 1: Listing Factors
List all factors of each number and find the biggest one they share.
Example:
8 → 1, 2, 4, 8
12 → 1, 2, 3, 4, 6, 12
👉 GCD = 4
✏️ Method 2: Prime Factorization
Break numbers into prime factors and multiply common ones.
Example:
8 = 2 × 2 × 2
12 = 2 × 2 × 3
👉 Common = 2 × 2 = 4
Step 2: Interactive Learning
Watch and answer the interactive activity on Wayground:
https://wayground.com/join?gc=37141089&source=liveDashboard
Focus on understanding how GCD is used in solving problems involving grouping and sharing.
Step 3: Create a Mind Map
Go to https://www.mindmeister.com/
Create a mind map about GCD in real life. Include:
- Definition of GCD
- Methods of solving GCD
- Real-life examples (food sharing, grouping items, arranging objects fairly)
- Simple illustrations or keywords
Step 4: Online Reflection (Edublogs)
Visit: https://samiaaytour.edublogs.org/2026/04/27/greatest-common-divisor/
Leave a comment answering this:
Think of a real-life situation where GCD can be used in a food fair or classroom activity.
Example:
You have 16 sandwiches and 24 juice packs. You want to pack them equally in gift bags. What is the greatest number of equal groups you can make?
Step 5: Wakelet Collection
Upload and organize all your outputs here:
https://wakelet.com/wake/tV2e5fm0knLUh6W-7Rkoa
Include:
- Mind map
- Infographic or PPT
- Video or flashcards
- Reflection/comment
Evaluation
| Criteria | Excellent (4) | Good (3) | Fair (2) | Needs Work (1) |
|---|---|---|---|---|
| Understanding of GCD | Fully understands and explains clearly | Minor mistakes in explanation | Partial understanding | Very unclear understanding |
| Problem Solving | All solutions correct | Mostly correct solutions | Some correct answers | Mostly incorrect |
| Participation | Completes all tasks actively | Completes most tasks | Completes few tasks | Incomplete work |
| Creativity | Very creative outputs and ideas | Good presentation | Basic output | Minimal effort |
| Real-Life Application | Strong and realistic examples | Good examples | Weak examples | No clear application |
Conclusion
Great work, Food Fair Organizer!
You have learned how the Greatest Common Divisor helps in organizing and sharing items fairly in real-life situations. This skill is useful not just in math, but also in planning events, dividing resources, and solving everyday problems.
Next, you will explore another important idea in mathematics: the Least Common Multiple (LCM), which focuses on finding when things happen together in the same cycle.