ABC26GN0434 · 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:

Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.
Answer
Answer (as printed):
Explanation
Required length = H.C.F. of 495 cm, 900 cm and 1665 cm. 495 = 32 × 5 × 11, 900 = 22 × 32 × 52, 1665 = 32 × 5 × 37. ∴ H.C.F. = 32 × 5 = 45. Hence, required length = 45 cm.

Explanation as extracted from the printed page; notation may be imperfect.

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