<prompt> Rala algorithm ea lipalo bakeng sa ho fumana karohano e kholo ea linomoro tse peli.nan  <response>: Instruction in English: Design a mathematical algorithm for finding the greatest common divisor of two numbers. . Response in English: Here is an algorithm for finding the greatest common divisor GCD of two numbers using the Euclidean algorithm:function gcda, b: while b ! 0: t b b a b a t return absaThis algorithm uses an iterative approach to find the GCD of two numbers. Heres how it works:1. Start by taking two numbers a and b as inputs.2. The algorithm iterates until b is equal to zero.3. Inside the loop, a temporary variable t is assigned the value of b.4. b is updated to be the remainder when a is divided by b, using the modulus operator .5. a is then set to the value of t.6. Once the loop terminates i.e., when b is equal to 0, the absolute value of a is returned as the GCD of the two input numbers.This is an efficient algorithm for finding the GCD of two numbers, with a time complexity of Olog mina, b. This means that the algorithm runs faster for smaller input numbers, and can take longer as the size of the input numbers increases. . Response in Sesotho: Mona ke algorithm ea ho fumana karohano e kholo ka ho fetesisa GCD ea linomoro tse peli ho sebelisoa algorithm ea Euclidean: function gcda, b: ha b ! 0: t bb a ba t return abs a Algorithm ena e sebelisa mokhoa oa ho pheta-pheta ho fumana GCD ea linomoro tse peli. Mona ke kamoo e sebetsang kateng: 1. Qala ka ho nka linomoro tse peli a le b joalo ka litlatsetso. 2. Algorithm e pheta-pheta ho fihlela b e lekana le zero. 3. Ka hara lupu, phetoho ea nakoana t e fuoa boleng ba b. 4. b e ntlafatsoa hore e be karolo e setseng ha a e aroloa ka b, ho sebelisoa opareitara ea modulus . 5. a e behilwe boleng ba t. 6. Hang ha loop e fela ke hore, ha b e lekana le 0, boleng bo felletseng ba a bo khutlisoa e le GCD ea linomoro tse peli tse kentsoeng. Ena ke algorithm e sebetsang hantle ea ho fumana GCD ea linomoro tse peli, ka nako e thata ea Olog mina, b. Sena se bolela hore algorithm e sebetsa ka potlako bakeng sa linomoro tse nyenyane tsa ho kenya, me e ka nka nako e teletsana ha boholo ba linomoro tsa ho kenya li ntse li eketseha. 