ABC26GN0459 · H.C.F. and L.C.M. of Numbers
Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: · Marks: · Difficulty:
H.C.F. of $4 \times 27 \times 3125,8 \times 9 \times 25 \times 7$ \& $16 \times 81$ $\times 5 \times 11 \times 49$ is
(a)180
(b)360
(c)540
(d)1260
Answer
Explanation
$4 \times 27 \times 3125=2^{2} \times 3^{3} \times 5^{5}$; $$\begin{aligned} & 8 \times 9 \times 25 \times 7=2^{3} \times 3^{2} \times 5^{2} \times 7 \\ & 16 \times 81 \times 5 \times 11 \times 49=2^{4} \times 3^{4} \times 5 \times 7^{2} \times 11 \\ & \therefore \quad \text { H.C.F. }=2^{2} \times 3^{2} \times 5=180 \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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