Page 53 - Maths Class 06

LAB ACTIVITY

Topic:

Building up the concept of HCF of given numbers.
Objective:

To find out the HCF of given numbers experimentally.

Previous Knowledge Required:
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 HCF of given Numbers. Let the given
numbers be 9 and 6.
1. Draw a strip to represent 9 cm as shown in Fig 3.1.
2. Draw a strip to represent 6 cm as shown in Fig. 3.2.
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. 3.3.
4. Out of the strip of 6 cm, cut 2 strips of length 3 cm each, noth ing remains as shown in Fig. 3.4.
5. 3 is the HCF of 9 and 6.
6. Repeat the activity with given numbers and record your observations.

Observations:
S.No. Given No. of HCF

1. 13 11
2. 5 15
3. 26 13

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

Extended Activity:
Prepare an activity for determining the LCM of given numbers.

Real-Life Application:
The concept of HCF is very useful in solving This strip represents 9 cm. This strip represents 6 cm.
daily life problems.
Fig. 3.1 Fig. 3.2
For example, Two tankers contain 442 litres
and 1261 litres of water, respectively. Find
the maximum capacity of the container that Fig. 3.3 Fig. 3.4
can measure the water of either tank in exact number of times.

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