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Mathematics · Real Numbers · NCERT Examples

Example 4

A complete, independently verified solution for NCERT Example 4.

Mathematics · Chapter 1 · NCERT Examples

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NCERT Example

Example 4

HCF · LCM · prime factorisation

Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method.

Solution

6=2×3,72=23×32,120=23×3×56=2\times3,\quad72=2^3\times3^2,\quad120=2^3\times3\times5
HCF⁡=2×3=6\operatorname{HCF}=2\times3=6
LCM⁡=23×32×5=360\operatorname{LCM}=2^3\times3^2\times5=360

Final answer

HCF = 6 and LCM = 360.