The $\text{g.c.d.}$ (greatest common divisor) of any two consecutive natural numbers is:
- A$2$
- B$1$
- C$0$
- D$3$
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Prove that one and only one out of every three consecutive positive integers is divisible by $3$.
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View SolutionWhich of the following groups correctly matches the data of Part $I$ with the data of Part $II$?
Part $I$ Part $II$ $1. \text{l.c.m.}(8, 16, 24)$ $a. 36$ $2. \text{g.c.d.}(8, 16, 24)$ $b. 48$ $3. \text{l.c.m.}(6, 12, 18)$ $c. 8$ $4. \text{g.c.d.}(6, 12, 18)$ $d. 12$ $e. 6$
| Part $I$ | Part $II$ |
| $1. \text{l.c.m.}(8, 16, 24)$ | $a. 36$ |
| $2. \text{g.c.d.}(8, 16, 24)$ | $b. 48$ |
| $3. \text{l.c.m.}(6, 12, 18)$ | $c. 8$ |
| $4. \text{g.c.d.}(6, 12, 18)$ | $d. 12$ |
| $e. 6$ |
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