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The H.C.F. of any two consecutive odd numbers is

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Detailed Solution

$1$

The HCF of any two consecutive odd numbers is 1

1. Examples of Consecutive Odd Numbers:

$3$ $3$ and $5$ $5$
$7$ $7$ and $9$ $9$
$11$ $11$ and $13$ $13$

2. H.C.F of Consecutive Odd Numbers:

For $3$ $3$ and $5$ $5$ , the H.C.F is $1$ $1$ .
For $7$ $7$ and $9$ $9$ , the H.C.F is $1$ $1$ .
For $11$ $11$ and $13$ $13$ , the H.C.F is $1$ $1$ .

Key Point: The H.C.F of any two consecutive odd numbers is always 1 $1$ $1$ , as they do not share any common factors other than $1$ $1$ . $1$

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