Easy Mathematics Chapter 1: Real Numbers Class 10 Level 4

यदि दो संख्याओं के अभाज्य गुणनखंड \(2^2\times3\) और \(2\times3^2\) हैं, तो उनका महत्तम समापवर्तक क्या होगा?

If two numbers have prime factorisations \(2^2\times3\) and \(2\times3^2\), what is their HCF?

Explanation opens after your attempt
Correct Answer

A. 6

Step 1

Concept

For HCF, take the smaller powers of common prime factors.

Step 2

Why this answer is correct

The smaller power of (2) is 1 and of (3) is 1, so \(2\times3=6\).

Step 3

Exam Tip

Use smaller powers for HCF. चरण 1: महत्तम समापवर्तक के लिए समान अभाज्य गुणनखंडों की छोटी घात लें। चरण 2: (2) की छोटी घात 1 और (3) की छोटी घात 1 है, इसलिए \(2\times3=6\)। चरण 3: महत्तम समापवर्तक में छोटी घातों का प्रयोग करें।

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