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Chapter 6 of 15
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Finding Common Ground

CBSE · Class 7 · Mathematics

Flashcards for Finding Common Ground — CBSE Class 7 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

54 questions70 flashcards5 concepts

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Card 1HCF मूल बातें

दो या दो से अधिक संख्याओं का महत्तम समापवर्तक (HCF) क्या होता है?

Answer

HCF दो या दो से अधिक संख्याओं के उभयनिष्ठ विभाजकों में से सबसे बड़ा या सबसे बड़ा होता है। इसे महत्तम समापवर्तक (GCD) भी कहा जाता है।

Card 2HCF basics

What is the Highest Common Factor (HCF) of two or more numbers?

Answer

The HCF is the highest or greatest of the common factors of two or more numbers. It is also called the Greatest Common Divisor (GCD).

Card 3HCF examples

What is the HCF of 12 and 16?

Answer

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. The greatest common factor is 4, so HCF = 4.

Card 4HCF उदाहरण

12 और 16 का HCF क्या है?

Answer

12 के गुणनखंड 1, 2, 3, 4, 6, 12 हैं। 16 के गुणनखंड 1, 2, 4, 8, 16 हैं। उभयनिष्ठ गुणनखंड 1, 2, 4 हैं। महत्तम समापवर्तक 4 है, अतः HCF = 4

Card 5HCF एप्लीकेशन

12 फीट गुणा 16 फीट के कमरे के लिए HCF का उपयोग करके वर्गाकार टाइलें क्यों चुनी जाती हैं?

Answer

एक वर्गाकार टाइल को 12 फीट चौड़ाई और 16 फीट लंबाई दोनों में बिल्कुल फिट होना चाहिए। इसलिए टाइल का भुजा 12 और 16 का एक उभयनिष्ठ गुणनखंड होना चाहिए। ऐसा सबसे बड़ा उभयनिष्ठ गुणनखंड 4 है, इसलिए टाइल का आक

Card 6HCF application

Why are square tiles for a 12 ft by 16 ft room chosen using the HCF?

Answer

A square tile must fit both the 12 ft breadth and the 16 ft length exactly. So the side of the tile must be a common factor of 12 and 16. The largest such common factor is 4, so the tile size is 4 ft.

Card 7HCF by prime factorisation

What is the HCF of 45 and 75?

Answer

45 = 3 × 3 × 5 and 75 = 3 × 5 × 5. The common prime factors are 3 and 5. Taking the minimum number of each gives 3 × 5 = 15, so HCF = 15.

Card 8अभाज्य गुणनखंड द्वारा HCF

45 और 75 का HCF क्या है?

Answer

45 = 3 × 3 × 5 and 75 = 3 × 5 × 5. The common prime factors are 3 और 5. प्रत्येक की न्यूनतम संख्या लेने पर 3 ×5 = 15 मिलता है, इसलिए HCF = 15।

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Frequently Asked Questions

What are the important topics in Finding Common Ground for CBSE Class 7 Mathematics?
Finding Common Ground covers several key topics that are frequently asked in CBSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Finding Common Ground — CBSE Class 7 Mathematics?
Understand the core concepts first, then work through the 54 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Finding Common Ground?
There are 70 flashcards for Finding Common Ground covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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