highest common factor

简明释义

最高公因数

英英释义

例句

1.The teacher asked the students to calculate the highest common factor 最大公因数 of 18 and 24.

老师让学生计算18和24的最高公因数 最大公因数。

2.To simplify the fraction 8/12, we need to find the highest common factor 最大公因数 of the numerator and denominator.

为了简化分数8/12，我们需要找到分子和分母的最高公因数 最大公因数。

3.In order to divide the cake into equal pieces, we must determine the highest common factor 最大公因数 of the number of slices.

为了将蛋糕切成相等的块，我们必须确定切片数量的最高公因数 最大公因数。

4.The highest common factor 最大公因数 of two numbers can be found using prime factorization.

两个数字的最高公因数 最大公因数可以通过质因数分解来找到。

5.Finding the highest common factor 最大公因数 is essential when reducing fractions.

在简化分数时，找出最高公因数 最大公因数是至关重要的。

作文

Mathematics is often seen as a challenging subject, but it can also be quite fascinating. One of the fundamental concepts in mathematics is the idea of factors. When we talk about factors, we are referring to numbers that can divide another number without leaving a remainder. Among these factors, there is a particular term that stands out: the highest common factor. The highest common factor (HCF), also known as the greatest common divisor (GCD), is the largest number that can evenly divide two or more numbers. Understanding the highest common factor is essential not only in mathematics but also in various real-life applications.To illustrate this concept, let’s consider an example. Suppose we have two numbers, 36 and 60. To find the highest common factor, we first need to determine the factors of each number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. For 60, the factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. By comparing these lists, we can see that the common factors are 1, 2, 3, 4, 6, and 12. Among these, the largest is 12, which means that the highest common factor of 36 and 60 is 12.Finding the highest common factor can be particularly useful in simplifying fractions. For instance, if we want to simplify the fraction 36/60, we can divide both the numerator and the denominator by their highest common factor, which is 12. This gives us 36 ÷ 12 = 3 and 60 ÷ 12 = 5, resulting in the simplified fraction 3/5.Moreover, the concept of the highest common factor extends beyond mere calculations. In everyday life, we often encounter situations where we need to share resources fairly. For example, if you have 36 apples and your friend has 60 apples, and you want to distribute them evenly among a group of people, knowing the highest common factor can help you determine how many people can receive an equal amount. In this case, you could share the apples with 12 people, giving each person 3 apples from your pile and 5 apples from your friend’s pile.In conclusion, the highest common factor is a vital mathematical concept that aids in understanding numbers and their relationships. It plays a significant role in simplifying fractions and solving practical problems involving sharing and distribution. By mastering the concept of the highest common factor, students can enhance their mathematical skills and apply these principles effectively in real-world scenarios. Embracing the beauty of mathematics through concepts like the highest common factor can lead to greater appreciation and understanding of the world around us.

数学常常被视为一门具有挑战性的学科，但它也可以非常迷人。数学中的一个基本概念是因子的概念。当我们谈论因子时，我们指的是能够整除另一个数而不留下余数的数字。在这些因子中，有一个特定的术语脱颖而出：最大公因数。最大公因数（HCF），也称为最大公约数（GCD），是可以均匀地整除两个或多个数字的最大数字。理解最大公因数不仅在数学中至关重要，而且在各种现实生活应用中也是如此。为了说明这个概念，假设我们有两个数字，36和60。要找到最大公因数，我们首先需要确定每个数字的因子。36的因子是1、2、3、4、6、9、12、18和36。对于60，因子是1、2、3、4、5、6、10、12、15、20、30和60。通过比较这些列表，我们可以看到共同因子是1、2、3、4、6和12。在这些因子中，最大的因子是12，这意味着36和60的最大公因数是12。寻找最大公因数在简化分数时特别有用。例如，如果我们想简化分数36/60，我们可以将分子和分母都除以它们的最大公因数，即12。这给我们带来了36 ÷ 12 = 3和60 ÷ 12 = 5，结果是简化后的分数3/5。此外，最大公因数的概念超越了简单的计算。在日常生活中，我们经常遇到需要公平分享资源的情况。例如，如果你有36个苹果，而你的朋友有60个苹果，你想把它们平均分配给一群人，知道最大公因数可以帮助你确定有多少人可以获得相等的数量。在这种情况下，你可以与12个人分享苹果，每个人从你的堆里得3个苹果，从你朋友的堆里得5个苹果。总之，最大公因数是一个重要的数学概念，有助于理解数字及其关系。它在简化分数和解决涉及分享和分配的实际问题中发挥着重要作用。通过掌握最大公因数的概念，学生可以提高他们的数学技能，并有效地将这些原理应用于现实世界场景。通过像最大公因数这样的概念来拥抱数学的美，可以增强对周围世界的欣赏和理解。