if HCF (a,b)=33,ab=363,then HCF of (a,b)=
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Step-by-step explanation:
Let the numbers be 11a and 11b
11a × 11b = 363
=> ab = 3
co-primes with product 3 are (1, 3)
(Reference: Co-prime Numbers)
Hence the numbers with HCF 11 and product 363
= (11 × 1, 11 × 3)
= (11, 33)
Hence, numbers are 11 and 33
The greater number = 33
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