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Question Number 91508 by Zainal Arifin last updated on 01/May/20
Find the greatest number that divides  59 and 54 leaving remainders 3 and  5 respectively.
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{number}\:\mathrm{that}\:\mathrm{divides} \\ $$$$\mathrm{59}\:\mathrm{and}\:\mathrm{54}\:\mathrm{leaving}\:\mathrm{remainders}\:\mathrm{3}\:\mathrm{and} \\ $$$$\mathrm{5}\:\mathrm{respectively}. \\ $$
Commented by som(math1967) last updated on 01/May/20
H.C.F of (59−3),(54−5) is7  ∴number is 7
$${H}.{C}.{F}\:{of}\:\left(\mathrm{59}−\mathrm{3}\right),\left(\mathrm{54}−\mathrm{5}\right)\:{is}\mathrm{7} \\ $$$$\therefore{number}\:{is}\:\mathrm{7} \\ $$

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