Mathematics in Ancient and Medieval India c7.s5.16

c7.s5.16

*English Translaton :* We follow Datta who based his translation on that of Bhāskara I ( 600 A. D. ), the first commentator on Āryabhaṭa I's work. The translation runs as follows : "Divide the divisor corresponding to the greater remainder by the divisor corresponding to the smaller remainder, being mutually divided, the last residue should be multiplied by an integer at our choice such that the product on being added to ( if the number of quotients in the division process is odd ) or subtracted ( if the number of quotients is even ) by the difference of the remainders, will be exactly divisible by the penultimate remainder. Place the quotients of the mutual division successively one below the other in a column, below them the optional multiplier and below it the quotient just obtained. The penultimate is multiplied by the one just above it and added to that just below it. Repeating this process, divide the last number obtained by the divisor corresponding to the smaller remainder. Then multiply the residue by the divisor corresponding to the greater remainder and add greater remainder. The result will be a number corresponding to the divisors.'¹