Answer :

Assume two consecutive numbers as 10,11

The factor of 10 are 5,2,1 and factors of 11 are 11,1

So HCF of 10 and 11 is 1.

Similarly, for any other consecutive numbers, the HCF is 1.

Hence the HCF of two consecutive numbers is 1.

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RELATED QUESTIONS :

Find the HCF of the following numbers:

(a) 18, 48 (b) 30, 42

(c) 18, 60 (d) 27, 63

(e) 36, 84 (f) 34, 102

(g) 70, 105, 175

(h) 91, 112, 49 (i) 18, 54, 81

(j) 12, 45, 75

NCERT - MathematicsThe HCF of two or more given numbers is the highest of their common_____.

NCERT - Exemplar MathematicsThe HCF of two numbers is smaller than the smaller of the numbers.

HCF of two or more numbers may be one of the numbers.