最大公因数最小公倍数习题（The greatest common factor and the least common multiple）.docVIP

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最大公因数最小公倍数习题（The greatest common factor and the least common multiple）.doc

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最大公因数最小公倍数习题（The greatest common factor and the least common multiple）

最大公因数最小公倍数习题（The greatest common factor and the least common multiple） B, LCM, refers to the use of several number (maximum) or common divisor (minimum) application method to solve the common multiple. This kind of problem is generally not directly specified for common divisor or multiples, through careful analysis of the known conditions, in order to find the problem solving method. The key to answer common divisor problem is: multiples or from the divisor and multiple meanings of the original title, solving few common divisor problem. Such as: 1, a cuboid of wood, 3.25 meters long, 1.75 meters wide, 0.75 meters thick. If you cut this piece of wood into many equal small cubes and make each small cube as big as possible, what is the length and number of the smaller cubes? Solution: according to the problem, a small cube edge length should be the greatest common divisor of the cuboid length, width and thickness of each number. Namely: (325, 175, 75) =25 (CM) Since 325, 25=13 175 / 25=7 75 / 25=3 So 13 x 7 x 3=273 (a) Answer: can be divided into small cubes 273, each of the small cube length of 25 cm. 2, there is a two digit, in addition to 50 more than 2, in addition to 63 more than 3, in addition to 73 more than 1. Whats the two digit number? Solution: the two digit number in addition to more than 50 2, with him in 48 (522) exactly divisible. That is to say, the two digit is 48 divisor. Similarly, the two digit number is 60, the number 72. So, the two digit can only be 48, 60, 72, 2, 3, 1 common divisor of 4, 6, 12, and 12 only to meet the conditions of the common denominator, namely (48, 60, 72) =12. A: the two digit is 12. The common factor of several numbers is called the common factor of these numbers, and the largest of them is the greatest common factor of these numbers. The multiples of several numbers are called common multiples of these numbers, the smallest of which is called the common multiple of these numbers. Solving problems using GCD and LCM method,