# Extra question: Largest possible numerator and denominator?

• The given limits are pretty small, only up to 10 fractions with numerators and denominators in the range [1, 10]. It's to avoid overflow becoming an issue.

Question 1: With the given limits, what is the largest numerator we might end up and what is the largest denominator we might end up?

Question 2: How large could we make the limits so that the numerator and denominator of the result would still fit into 32-bit signed integers? Let's say we use a single limit number n so that up to n fractions were allowed with numerators and denominators in the range [1, n]. How large can we make n?

• largest denominator is 2520

• @ibmtp380 Can you show some explanation/proof?

Largest numerator/denominator I found are btw 164971/2520, from `"9/5+10/7+9/8+10/9+10/1+10/1+10/1+10/1+10/1+10/1"`.

• 2520 is the least common multiple of 1,2,3,4,5,6,7,8,9,10
@StefanPochmann

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