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【片段】学生同桌两人一组,找出两个数的公因数和最大公因数,全班交流。师:从刚才的结果中,有没有发现有什么比较特殊的?生1:每个数的因数最大的都是它本身。生2:每组数都有因数1。师:为什么?生2:嗯……(不知该如何回答)生3:因为每个整数都能被1整除。生4:不对,因为每个自然数(0除外)都能被1整除。师:你想的真周全,思维也很严密,那还有什么发现吗?生5:有的两个数最大公因数是1,最小公因数也是1。
[Fragment] Students at the same table two people, find the two numbers of the common divisor and the greatest common factor, the class exchange. Teacher: From the result just now, have you found anything special? Health 1: The greatest factor for each number is itself. Health 2: Each group has a factor of 1. Teacher: Why? Health 2: Well ... (I do not know how to answer) Students 3: Because each integer can be divided by 1. Health 4: wrong, because each natural number (except 0) can be divided by 1. Teacher: You think so thoughtfully and thoughtfully. What else do you find out? Student 5: The greatest common divisor of any two numbers is 1, and the lowest common divisor is 1.