Question
The highest common factor (HCF)
of two numbers is 17. If their product is 867, how many pairs of numbers satisfy these conditions?Solution
ATQ,
Let the two numbers be '17x' and '17y', where 'x' and 'y' are co-prime. ATQ; 17x × 17y = 867 So, xy = 3 Since, '3' is a prime number, ab = 3 × 1 or 1 × 3, Either way, only one pair exists.
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