Question

Conclusion
ACTIVITY-5
To find the HCF of two given numbers by diy
vo given numbers by division method.
d Knowledge : 0) Factors of numbers,
Title : To find the HCF of
scted Background Knowle
Division of numbers
ater
esan
Dros
ing this activity, the learner will be able to find the HCF of any two given
actives : (i) After completing this ac
Objectives: (iAfter
He will be able to find the larg
(1) He will be a
the largest number by which the two numbers can be divided
uired : (i) Cardboard : 5 strips of 2 cm width,
pir of Scissors, (iv) Fevicol, (V) Scale, (vi) Pencil and eraser.
ity : Suppose we have to find the HCF of 20 and 32. Car
Material Required :
entity
to find the HCF of 20 and 32. Carry out the following
(11) Sketch Pens, (in) Apir of Sci
Preparation for the Activity: Sur
ieces of length 32 cm each, two pieces of length 20 cm each,
flength 8 cm each and three pieces of length 4 cm each.
Cut 2 cm wide cardboard strips
pieces of length 12 cm each, two
cardboard strips to get two pieces of length 32 cm each, two
12 cm each, two pieces of length 8 cm each and three ni
the cardboard strips as shown in figure below:
32
(ii) Paste the card
0
20
20
12
4
4
tion and Use: The first two strips represent numbers 32 and 20. Finding HCF means finding
mon factor of 32 and 20 i.e., finding that largest length of strip which measures the lengths 32 cm
Demonstration and Use: The fi
highest common factor of 32
and 20 cm exactly.
rom the first two strips it is clear that this length can not be 20 cm as 20 cm does not divide 32.
(6) If we keep the strip (ii) along (1), we see that the length of strip of length 12 cm is left out in (1)
20 321
-20
12
(c) From strip (iii) we see that the desired length can not be 12 cm, as it does not divide 20 cm strip exact
number of times. From (iv) we see that 12 cm stric covers 20 cm strip once and then 8 cm strip is left over.
12) 2011
-12
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Answer 1

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