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Playing With Numbers

Question 1:

Find the HCF of the following numbers:

(a) 18, 48 (b) 30, 42 (c) 18, 60

(d) 27, 63 (e) 36, 84 (f) 34, 102

(g) 70, 105, 175 (h) 91, 112, 49 (i) 18, 54, 81

(j) 12, 45, 75

Answer:

(a) 18, 48

2

18

3

9

3

3

1

2

48

2

24

2

12

2

6

3

3

1

18 = 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

HCF = 2 × 3 = 6

(b) 30, 42

2

30

3

15

5

5

1

2

42

3

21

7

7

1

30 = 2 × 3 × 5

42 = 2 × 3 × 7

HCF = 2 × 3 = 6

(c) 18, 60

2

18

3

9

3

3

1

2

60

2

30

3

15

5

5

1

18 = 2 × 3 × 3

60 = 2 × 2 × 3 × 5

HCF = 2 × 3 = 6

(d) 27, 63

3

27

3

9

3

3

1

3

63

3

21

...

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