Class 7 Mathematics — Chapter 3: FINDING COMMON GROUND
Free AI tutor + NCERT notes for Chapter 3: FINDING COMMON GROUND. 7 topics covered. Ask any question by voice or text in Hindi or English.
What you'll learn
- ▸Understanding Factors and Common Factors
- ▸Highest Common Factor (HCF) by Listing
- ▸Applying HCF to Word Problems
- ▸Prime Factorization Fundamentals
- ▸Prime Factorization using the Division Method
- ▸Finding HCF using Prime Factorization
- ▸Generating All Factors from Prime Factorization
Chapter Summary
--- PAGE 1 --- 3 FINDING COMMON GROUND 3.1 The Greatest of All ? Sameeksha is building her new house. The main room of the house is 12 ft by 16 ft. She feels that the room would look nice if the floor is covered with square tiles of the same size. She also wants to use as few tiles as possible, and for the length of the tile to be a whole number of feet. What size tiles should she buy? Let us explore how to find the largest square tile that can be used. The breadth of the room is 12 ft and the length is 16 ft. For the tiles to fit the breadth of the room exactly, the side of the tile should be a factor of 12. Similarly, for the tiles to fit the length of the room exactly, the side should be a factor of 16. So the side of the tile should be a factor of both 12 and 16. What are the common factors of 12 and 16? The factors of 12 are 1, 2, 3, 4, 6, 12. The factors of 16 are 1, 2, 4, 8, 16. The common factors are 1, 2, and 4. So, the square tiles can have sides 1 ft, 2 ft, and 4 ft. Amon…
Practice Questions from this Chapter
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- Explain prime numbers visually. Get Solution →
- Calculate HCF using prime factorization. Get Solution →
- Discover the biggest prime number. Get Solution →
- What does HCF stand for? Get Solution →
- What is another name for the Highest Common Factor (HCF)? Get Solution →
- According to the chapter, what are the common factors of 12 and 16? Get Solution →
- What is the definition of a prime number provided in the chapter? Get Solution →
- What is the process of writing any number as a product of primes called? Get Solution →
Did you know?
- 💡 There are more prime numbers than you could ever count.
- 💡 Some numbers, called perfect numbers, equal the sum of their own divisors.
- 💡 The largest known prime number has over 24 million digits!
- 💡 Ancient Greeks used factors to understand musical harmony and scales.
- 💡 Prime numbers are like atomic elements for all other numbers.
Frequently Asked Questions
How many topics are covered in this chapter?
This chapter covers 7 key topics: Understanding Factors and Common Factors, Highest Common Factor (HCF) by Listing, Applying HCF to Word Problems, Prime Factorization Fundamentals, Prime Factorization using the Division Method, and more. The BrainWeave AI tutor explains each one with examples.
Is Chapter 3: FINDING COMMON GROUND important for board exams?
Class 7 is a foundation year. Mastering this chapter now will help you build strong fundamentals for the higher classes.
Can I get NCERT solutions for this chapter in Hindi?
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