Math, asked by arnomls2554, 7 months ago

HCF by continued division method

Answers

Answered by jarryllinwj
0

Answer:

What number?

If its you don't know how it works, it works like this :

Firstly, what is HCF?

HCF is the highest common factor.  

To find the highest common factor, you can use the prime factorisation method.

*Note : The highest common factor MUST be a prime number.

Factors of 192 :

Factors              192

2                           96

2                             48

2                                24

2                                  12

2                                    6

2                                      3

3                                        1

Factors that made up 192 : 2 × 2 × 2 × 2 × 2 × 2 × 3

Factors of 192 : 2 and 3

Factors of 576 :

Factors              576

2                           288

2                             144

2                                72

2                                  36

2                                    18

2                                      9

3                                        3

3                                          1

Factors that made up 576 : 2  × 2 × 2 × 2 × 2 × 2 × 3 × 3

Factors of 576 : 2 and 3

Factors of 1760 :

Factors              176

2                           880

2                             440

2                                220

2                                  110

2                                    55

5                                      11

11                                        1

Factors that made up 1760 : 2 × 2 × 2 × 2 × 2 × 5 × 11

Factors of 1760 : 2, 5 and 11

To find the Highest Common Factor ( HCF ) of these three numbers ( 192 , 576 and 1760 ), take the highest factor. The highest factor of these three numbers is bold and underlined.

The Highest Common Factor of 192, 576 and 1760 is 2.

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