- Find HCF and LCM of the following
(i) 9x2y2z3 and 15x3y2z4
Solution:
HCF = 3x2y2z3
LCM = 45x3y2z4
(ii) 8x4a2 and 48x3b2
Solution:
8x4a2 = 23 x4 a2
48x3b2 = 24 x 3x3 b2
HCF = 8x2
LCM = 48x4 a2 b4
(iii) 240 and 64x8
Solution:
240 = 22 x 3 x 5
64x8 = 26 x x8
HCF = 24 = 16
LCM = 26 x 3 x 5 x x8 = 960x8
(iv) 2009b2y5 and 44 b4y3
Solution:
2009b2y5 = 7 x 41 x b²y5
44 b4y3 = 22 x 11b4y3
HCF = 24 = b2y3
LCM = 2009 x 44 x b4y5
= 88396 b4 y5
- Find HCF and LCM of the following:
(i) p5 , p11 , p7
Solution:
LCM = p5
HCF = p11
(ii) 10 a2b2c2 , 15ab2c3 , 20b3c2
Solution:
10 a2b2c2 = 2 x 5a2b2c2
15 ab2c3 = 3 x 5 ab2c3
20 b3c2 = 22 x 5 b3c2
LCM = 5 b2c2
HCF = 22 x 5 x 3 a2b3c3
= 60 a2b3c3
(iii) 4x3 , y3 , z3
Solution:
LCM = 1
HCF = 4x3y3z3
(iv) 24a5b5c4 , 30a3b4c3 , 36a2b3c5
Solution:
24 a5b5c4 = 23 x 3 a5b5c4
30 a3b4c3 = 2 x 3 x 5 a3b4c3
36 a2b3c5 = 22 x 32 a2b3c5
LCM = 2 x 3a2b3c3
= 6 a2b3c3
HCF = 22 x 32 x 5 a5b5c5
= 360 a5b5c5
HCF AND LCM – EXERCISE 3.3.1 – Class 9
Remembered my schooling..👌👌
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