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Home › Grade7 › Grade 7 Olympiad › Math Olympiad-Grade-7 › HCF, LCM & Factorisation › HCF and LCM Worksheet-2

HCF and LCM Worksheet-2

HCF and LCM Worksheet-2

 

Mark against the correct answer:

  1. The L.C.M. of is :

(a) 36                  (b)                 (c)             (d)

 

  1. The H.C.F. of 1.75, 5.6 and 7 is :

(a) 0.07              (b) 0.7                (c) 3.5                 (d) 0.35

 

  1. The G.C.D. of 1.08, 0.36 and 0.9 is :

(a) 0.09              (b) 0.9                (c) 0.18              (d) 0.108

 

  1. The H.C.F. of 0.54, 1.8 and 7.2 is :

(a) 1.8                 (b) 0.18              (c) 0.018            (d) 18

 

  1. The L.C.M. of 3, 2.7 and 0.09 is :

(a) 2.7                 (b) 0.27              (c) 0.027            (d) 27

 

  1. H.C.F. of 3240, 3600 and a third number is 36 and their L.C.M. is 24 × 35 × 52 × 72. The third number is :

(a) 22 × 35 × 72                              (b) 22 × 53 × 72

(c) 25 × 52 × 72                              (d) 23 × 35 × 72

 

  1. Three numbers are in the ratio 1:2:3 and their H.C.F. is 12. The numbers are :

(a) 4, 8, 12         (b) 5, 10, 15       (c) 10, 20, 30    (d) 12, 24, 36

 

  1. The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is :

(a) 12                  (b) 16                  (c) 24                  (d) 48

 

  1. The sum of two numbers is 216 and their H.C.F. is 27. The numbers are :

(a) 27, 189         (b) 81, 189         (c) 108, 108      (d) 154, 162

 

  1. The sum of two numbers is 528 and their H.C.F. is 33. The number of pairs of numbers satisfying the above conditions is :

(a) 4                    (b) 6                    (c) 3                    (d) 12

 

  1. The number of number-pairs lying between 40 and 100 with their H.C.F. as 15 is :

(a) 3                    (b) 4                    (c) 5                    (d) 6

 

  1. The H.C.F. of two numbers is 12 and their difference is 12. The numbers are :

(a) 66, 78           (b) 70, 82          (c) 94, 106         (d) 84, 96

 

  1. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is :

(a) 101                (b) 107                (c) 111                 (d) 185

 

  1. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :

(a) 1                     (b) 2                    (c) 3                    (d) 4

 

  1. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :

(a) 75                  (b) 81                  (c) 85                  (d) 89

 

  1. The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is :

(a) 28                 (b) 32                 (c) 40                  (d) 64

 

  1. Three numbers are in the ratio of 3:4: 5 and their L.C.M. is 2400, Their H.C.F. is :

(a) 40                 (b) 80                 (c) 120                (d) 200

 

  1. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is :

(a) 279               (b) 233               (c) 308               (d) 318

 

  1. The sum of two numbers is 2000 and their L.C.M. is 21879. The two numbers are :

(a) 1993, 7         (b) 1991, 9         (c) 1989, 11        (d) 1987, 13

 

  1. The H.C.F. and L.C.M. of two numbers are 21 and 84 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is :

(a) 12                  (b) 48                 (c) 84                  (d) 108

 

Answer Key:

(1)-(a); (2)-(a); (3)-(a); (4)-(b); (5)-(d); (6)-(a); (7)-(d); (8)-(d); (9)-(a); (10)-(a); (11)-(b);  (12)-(d); (13)-(c); (14)-(b); (15)-(c); (16)-(c); (17)-(a); (18)-(c); (19)-(c); (20)-(c)