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Answer (Detailed Solution Below)

Option 1 : $72$ / $72$

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Detailed Solution

सही उत्तर $72$ / $72$ है।

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PrepSnapprepsnap.in • Part -A

Question:

The HCF of $144$ and $216$ is — / $144$ और $216$ का महत्तम समापवर्तक (HCF) क्या है —

1.
$72$ / $72$
2.
$36$ / $36$
3.
$24$ / $24$
4.
$48$ / $48$

Correct Answer: $72$ / $72$

$144 = 2^4 \times 3^2$ and $216 = 2^3 \times 3^3$; taking the lowest powers of the common primes gives $2^3 \times 3^2 = 72$. / $144 = 2^4 \times 3^2$ और $216 = 2^3 \times 3^3$; उभयनिष्ठ अभाज्य गुणनखंडों की न्यूनतम घात लेने पर $2^3 \times 3^2 = 72$ मिलता है।

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