Question
Three numbers are in the ratio 4 : 9 : 13 and their LCM
is 2340. Their HCF is:Solution
Let, the HCF of the numbers = H So, the three numbers are 4H, 9H, and 13H. According to the question, ⇒ LCM (4H, 9H, 13H) = 2340 ⇒ (4 × 9 × 13) × H = 2340 ⇒ 468 × H = 2340 ⇒ H = 2340/468 ⇒ H = 5 ∴ Their HCF is 5.
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