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Mathematics · Real Numbers · NCERT Examples

Example 3

A complete, independently verified solution for NCERT Example 3.

Mathematics · Chapter 1 · NCERT Examples

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NCERT Example

Example 3

HCF · LCM · prime factorisation

Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.

Solution

96=25×3,404=22×10196=2^5\times3,\qquad404=2^2\times101
HCF⁡(96,404)=22=4\operatorname{HCF}(96,404)=2^2=4
LCM⁡(96,404)=96×4044=9696\operatorname{LCM}(96,404)=\frac{96\times404}{4}=9696

Final answer

HCF = 4 and LCM = 9696.