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For me, the fastest way to get to the answer is by first reducing the fraction by dividing Num and Den by 7*11=77 and then simply start multiplying remaining numbers in the Numerator until I get one given in the answer choices (which would be 26=2*13)
If N is an integer, k has to be a factor of N where N = (2x3x5x13)/k, since 77 is a factor of 7x11. So any product of the 4 numbers (2,3,5,13) besides the number themselves is considered a factor of (2x3x5x13) if N is an integer....6, 10, 26, 15, 39, 65, 30, 78, 195.