Question

(a) 42
(b) 180
3. Find the HCF of the following by the prime factorization method:
(a) 18, 63, 108
Laughter T
(b) 32 and 144​

Answer 1

Answer:

a) 18, 63, 108

18:

2|18

3|9

3|3

---------------

63:

3|63

3|21

7|7

----------------

108:

2|108

2|54

3|27

3|9

3|3

----------------

18= 2 X 3 X 3

63= 3 X 3 X 7

108= 2 X 3 X 3 X 3 X 2

So, 3 X 3 = 9

Hence, 9.

----------------------------------------------->

b) 32 and 144​

32:

2|32

2|16

2|8

2|4

2|2

------------------

144:

3|144

3|48

2|16

2|8

2|4

2|2

------------------

32= 2 X 2 X 2 X 2 X 2

144= 3 X 3 X 2 X 2 X 2 X 2

So, 2 X 2 X 2 X 2 = 4 X 4 = 16

Hence, 16.