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HCF and LCM Worksheet-2

HCF and LCM Worksheet-2

 

  1. Factors of 12 are ______.

(a) 1, 2, 3, 5, 7 and 12         (b) 1, 2, 3, 4 and 10

(c) 1, 2, 3, 5, 6 and 9          (d) 1, 2, 3, 4, 6 and 12

 

  1. What is the CORRECT definition of Highest Common Factor (H.C.F) or the Greatest Common Divisor (G.C.D)?

(a) The lowest number that divides two or more numbers with remainder.

(b) The greatest number that divides two or more numbers without remainder.

(c) The greatest number that divides at least one of the numbers without remainder.

(d) The smallest number that divides two or more numbers without a remainder.

 

  1. Find the highest common factor of 24 and 40.

(a) 5                     (b) 6                    (c) 10                  (d) 8

 

  1. What is the HCF of 12 and 23?

(a) 6                    (b) 3                    (c) 1                     (d) 4

 

  1. Megan has two pieces of paper. One piece is 45 inches wide and another is 60 inches wide. She wants to cut both pieces into strips of equal width that are as wide as possible. How wide should she cut the strips?

(a) 20 inches     (b) 9 inches       (c) 15 inches      (d) 12 inches

 

  1. The length, width and height of a room are 1020 cm, 820 cm and 620 cm, respectively. What is the maximum length of a tape that can measure these dimensions exactly?

(a) 10 cm           (b) 15 cm           (c) 40 cm           (d) 20 cm

 

  1. Find the GCF of the following set of numbers.

20, 28, 50

(a) 5                    (b) 8                    (c) 7                    (d) 2

 

  1. Find the HCF of the following set of numbers.

140, 196, 260

(a) 2                    (b) 4                    (c) 1                     (d) 12

 

  1. Find the greatest number that divides 258 and 323, leaving remainders 2 and 3 respectively.

(a) 16                  (b) 32                 (c) 64                  (d) 24

 

  1. H.C.F of two numbers is 1. What are those numbers called?

(a) Co-Primes                               (b) Composite numbers

(c) Twin Primes                            (d) Prime numbers

 

Answer Key:

  1. (d)
  2. (b)
  3. (d)
  4. (c)
  5. (c)
  6. (d)
  7. (d)
  8. (b)
  9. (c)
  10. (a)