Question

hcf of two consecutive odd numbers

Answer 1

Highest common factor HCF of two consecutive odd numbers is always one 1.
Let suppose two consecutive odd numbers e.g. 15 and 17
15=1×3×5
17=1×17
Between their factors 1 is common so their highest common factor HCF is 1.
Let suppose another consecutive odd numbers e.g. 199 and 201
199=1×199
201=1×3×67
Hence their HCF is also 1.

Answer 2

HCF of two consecutive odd numbers is always one 1.

Let suppose two consecutive odd numbers e.g. 15 and 17

15=1×3×5

17=1×17

Between their factors 1 is common so their highest common factor HCF is 1.

Let suppose another consecutive odd numbers e.g. 199 and 201

199=1×199

201=1×3×67

Hence their HCF is also 1.