Introduction
Have you ever tried to divide things equally among friends—like sharing candies or arranging groups? Sometimes, finding the greatest number that divides two numbers evenly can make things much easier!
In this WebQuest, you will become a Math Detective and explore the concept of the Greatest Common Divisor (GCD). Get ready to solve puzzles, watch videos, and apply your skills to real-life situations!
Task
By the end of this WebQuest, you will acquire the following objectives:
- Understand what the Greatest Common Divisor (GCD) is
- Learn different ways to find the GCD
- Solve real-life problems using GCD
- Create your own GCD word problem
Your task in this webquest is to:
- create ppt, infographic and video using notebookLM
- watch an interactive video on wayground
- create a mind map using Mindmeister
- share your ideas on edublogs and wakelet
Process
Step 1: Notebook LM
Go to Notebook LM,https://notebooklm.google/
Create an account and use the following text to create an infographic, video and flashcards about GCD.
Methods to Find GCD
The Greatest Common Divisor (GCD), or Highest Common Factor (HCF), is the largest positive integer that divides two or more numbers exactly without leaving a remainder. It represents the biggest common factor shared between numbers, used for simplifying fractions and in number theory algorithms.
✏️ Method 1: Listing Factors
List all factors of each number and find the greatest one they share.
Example:
Factors of 12 → 1, 2, 3, 4, 6, 12
Factors of 18 → 1, 2, 3, 6, 9, 18
👉 GCD = 6
✏️ Method 2: Prime Factorization
Break numbers into prime factors.
Example:
12 = 2 × 2 × 3
18 = 2 × 3 × 3
👉 Common factors: 2 × 3 = 6
Step 2: What is GCD?
Watch an interactive video on wayground : https://wayground.com/join?gc=37141089&source=liveDashboard
Step 3: Mindmiester
Go to mindmiester (https://www.mindmeister.com/), create a mindmap about GCD.
Include the definition of GCD, examples and where to find it in real life.
Be creative .
Step 4: Edublogs
Go to Edublogs (https://samiaaytour.edublogs.org/2026/04/27/greatest-common-divisor/) ,comment on the post with a life situation where you can use GCD like the following sample : You have 12 apples and 18 oranges. You want to divide them into equal groups with no leftovers. What is the greatest number of groups you can make?
Step 5: Wakelet
Share your work(mindmap. infographic,video, flashcards)
on your wakelet collection https://wakelet.com/wake/tV2e5fm0knLUh6W-7Rkoa
Evaluation
📝 Evaluation
| Criteria | Excellent (4) | Good (3) | Fair (2) | Needs Work (1) |
|---|---|---|---|---|
| Understanding of GCD | Correctly finds GCD in 4/4 problems and explains the steps clearly | Correctly finds GCD in 3/4 problems with minor explanation errors | Correctly finds GCD in 2/4 problems with unclear steps | Correctly finds GCD in 0–1 problems or cannot explain |
| Problem Solving | Solves all problems correctly (100%) | Solves 75% of problems correctly | Solves 50% of problems correctly | Solves less than 50% correctly |
| Participation | Participates consistently (answers ≥3 times, engages in all activities) | Participates regularly (answers 2 times, engages in most activities) | Participates occasionally (answers 1 time) | Does not participate or is off-task |
| Creativity (Own Problem) | Creates a complete, original problem with correct solution and clear explanation | Creates a clear problem with correct solution | Creates a basic problem with partial correctness | Incomplete or incorrect problem |
Conclusion
🎉 Conclusion
Great job, Math Detective! Now you know how to find the Greatest Common Divisor and use it in real life. Next time you need to divide things equally, you’ll know exactly what to do!
Now that we know how to find what numbers have in common, we are ready to explore a new idea: finding the Least Common Multiple (LCM). Instead of looking for the greatest number that divides numbers, we will look for the smallest number that different numbers can all fit into.