"Finding the Greatest Common Factor" The meaning of fractions PPT

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"Finding the Greatest Common Factor" The meaning of fractions PPT

Part One: Classroom Introduction

1. Students understand common factors and the greatest common factor in specific situations; explore ways to find the common factors of two numbers, and use the enumeration method to find the common factors and the greatest common factor of two numbers.

2. Experience the process of finding the common factors of two numbers, and understand the meaning of common factors and greatest common divisor.

3. Cultivate students’ good habits of independent learning, active exploration, cooperation and communication.

Find the greatest common factor PPT, part 2: exploration of new knowledge

Fill it out

12=( ) × ( ) = ( ) × ( ) = ( ) × ( )

18=( ) × ( ) = ( ) × ( ) = ( ) × ( )

Find all the factors of 12 and 18 and share with your partner how you found them?

The same factors of 12 and 18 are ___________.

The greatest common factor of 12 and 18 is _____.

How many factors do 12 and 18 have in common?

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

The common factors of 12 and 18 are: 1, 2, 3, and 6.

The greatest common factor of 12 and 18 is _____.

Like the two numbers 12 and 18 above, the common factors are 1, 2, 3, and 6, which are called the common factors of 12 and 18; the largest one is 6, which is called the greatest common factor of 12 and 18.

I found that the greatest common factors in these groups of numbers are all 1, but the relationship between each group of numbers is different. The greatest common factor of 1 and any natural number (except 0) is 1, 2 and 3, and 8 and 9 are adjacent numbers. 3 and 7, 11 and 13 are all prime numbers.

Find the greatest common factor PPT, part 3: Classroom exercises

1. Find all the factors and the greatest common divisor of 9 and 15, and share with your peers how you found them.

The factors of 9 are: __________;

The factors of 15 are: __________;

The common factors of 9 and 15 are: __________;

The greatest common factor of 9 and 15 is __________.

2. Fill it out and communicate with your peers.

3. Find the greatest common factor of each set of numbers below.

4. Write the greatest common factor of the numerator and denominator of the following fractions.

Find the greatest common factor PPT, part 4 content: Class summary

How to find the greatest common factor:

1. First find the factors of each number.

2. Find the common factors of the two numbers.

3. Determine the greatest common factor.

If two numbers are multiples, the smaller number is the greatest common factor of the two numbers.

The greatest common factor of two adjacent natural numbers (except 0) is 1.

The greatest common factor of two unequal prime numbers is 1.

Find the greatest common factor PPT, part 4 content: Classwork

1. Judgment.

(1) The number of common factors of two numbers is infinite. ( )

(2) The greatest common factor of 1 and any non-zero natural number is 1. ( )

(3) The greatest common factor of two composite numbers cannot be 1 ( )

(4) Two unequal prime numbers have no greatest common factor ( )

(5) The greatest common factor of two adjacent non-zero natural numbers is 1. ( )

2. Choose.

(1) The greatest common factor of 15 and 17 is ___.

A. 1 B. 15 C. 16 D. 0

(2) The greatest common factor of 16 and 64 is ___.

A. 4 B. 6 C. 8 D. 16

(3) The number A is 5 times the number B. The greatest common factor of the two numbers A and B is ___.

A. 1 B. Number A C. Number B D. 3

3. Write down the numbers 1.2...20 and the greatest common factor of 4 respectively.

4. There are three ropes, one is 12 meters long, the other is 16 meters long, and the other is 24 meters long. Now we need to cut them into small segments of the same length without any leftovers. How many meters is the longest length of each segment?

The greatest common factor of 12, 16, and 24 is 4.

Answer: The longest length of each section is 4 meters.

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Update Time: 2024-10-05

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