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Addition without carry 2 3 digits

Class # Class # CBSE UP Board

1. Introduction

HCF (Highest Common Factor) is the largest number that divides given numbers exactly.


2. Key Formula

The relationship between HCF and LCM is given by:

\[ \text{HCF}(a,b) \times \text{LCM}(a,b) = a \times b \]

» Solved Example 1

Example 1

Meena has 8 pencils. She arranges them in pairs. Does she have an even number of pencils?
  1. 1 Arrange 8 pencils into pairs: (2), (2), (2), (2). That is 4 complete pairs.
  2. 2 No pencil is left over. Every pencil has a partner.
  3. 3 Also check the ones digit: 8 ends in 8. 8 is in the list 0, 2, 4, 6, 8. So 8 is even.
Yes, 8 is an even number. Meena can arrange all pencils in perfect pairs.

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