Page 52 - Maths Skill - 6

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Consecutive Multiple Factor Divisor Twin Applications

Activity

Objective: To find out the largest common factor of given numbers experimentally.
Pre-Requisite Knowledge: Concept of factors and multiples of numbers.

Materials Required: Construction box, coloured paper, fevicol, a pencil, a pair of scissors.
Procedure: Perform the following steps to prepare a worksheet to get the largest common factor of given numbers.
Let the given numbers be 9 and 6.

1. Draw a strip to represent 9 cm as shown in Fig. 1.
2. Draw a strip to represent 6 cm as shown in Fig. 2.

This strip represents 9 cm. This strip represents 6 cm.

Fig. 1 Fig. 2

3. Out of the strip of 9 cm, cut a strip of length 6 cm. A strip of length 3 cm remains as shown in Fig. 3.
4. Out of the strip of 6 cm, cut 2 strips of length 3 cm each, nothing remains as shown in Fig. 4.

6 cm 3 cm 3 cm 3 cm
Fig. 3 Fig. 4
5. 3 is the largest common factor of 9 and 6.

6. Repeat the activity with given numbers and record your observations.

Observations:
S. No. Given Number Largest Common Factor

1 13, 11

2 5, 15

3 26, 13

Conclusion: Performing the above activity clearly explains the process of finding out the largest common factor
On the right side of the worksheet, explanation is given for the operations performed. It is obvious
that the largest common factor of 9 and 6 is 3.