Question
The HCF of two numbers is 17. If their product is 867,
then how many such pairs exist?Solution
Let the two numbers be '17a' and '17b', where 'a' and 'b' are co-prime.
ATQ; 17a X 17b = 867
So, ab = 3
Since, '3' is a prime number, ab = 3 X 1 or 1 X 3, Either way, only one pair exists.
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