Question

Find the HCF of two consecutive natural,even and odd numbers with full explanation.​

Answer 1

Answer:

Of even number

Let the consecutive numbers be 8 and 9.

8=2\times2\times28=2×2×2

9=3\times39=3×3

common factor of 8 and 9 =1

Of odd number

let the two consecutive odd numbers be 3 and 5.

3=1\times33=1×3

5=1\times55=1×5

common factor between 3 and 5 is 1

thus HCF of 3 and 5 is1

hence, the HCF of two consecutive odd number is 1.

thus, HCF of 8 and 9 is 1.

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