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HCF & LCM

Practice finding Highest Common Factor (HCF/G.C.D.) and Least Common Multiple (LCM) of numbers, fractions, and algebraic expressions including polynomials

20 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

H.C.F. of (x - 2) (x - 1) and (x - 2) (x + 3) is

  1. x - 1
  2. (x - 1) (x + 3)
  3. x + 3
  4. x - 2
Question 2 Multiple Choice (Single Answer)

The H.C.F of (x3 + x2 + x + 1) and (x4 - 1) is

  1. (x2 - 1) (x2 + 1)
  2. (x + 1) (x2 + 1)
  3. (x + 1 ) (x2 - 1)
  4. None of these
Question 3 Multiple Choice (Single Answer)

A boy has some toffees. If he gives 2 or 3 or 5 toffees to each of his friends he is left with no toffee. The least number of toffees he must have is

  1. 30
  2. 45
  3. 12
  4. 24
Question 4 Multiple Choice (Single Answer)

L.C.M of (x + 1) and x2 - x + 1 is

  1. x + 1
  2. x3 + 1
  3. 1
  4. x2 - x + 1
Question 5 Multiple Choice (Single Answer)

G. C. D of 28, 42 and 84 is

  1. 42
  2. 14
  3. 84
  4. 28
Question 6 Multiple Choice (Single Answer)

LCM of 2/5, 3/10 and 6/25 is

  1. 1/5
  2. 6/5
  3. 2/5
  4. 12/25
Question 7 Multiple Choice (Single Answer)

L.C.M. (a + b)9 and (a + b)13 is

  1. (a + b)4
  2. (a + b)22
  3. (a + b)9
  4. ( a + b)13
Question 8 Multiple Choice (Single Answer)

G.C.D. of (x2 - 5x + 6) and (x2 + 5x - 14) is

  1. (x - 2)
  2. (x - 3)
  3. (x + 7)
  4. None of these
Question 9 Multiple Choice (Single Answer)

The LCM of (a3 + b3) and (a4 - b4) is

  1. (a3 + b3) (a + b) (a2 + b2)
  2. (a3 + b3) (a2 + b2) (a - b)
  3. (a + b) (a2 + ab + b2)
  4. None of these
Question 10 Multiple Choice (Single Answer)

The L.C.M of (x + 2)2, (x - 2) and (x2 - 4x - 12) is _________.

  1. (x + 2)2 (x - 2) (x - 6)
  2. (x + 2) (x - 2)
  3. (x + 2) (x - 2)2
  4. None of these
Question 11 Multiple Choice (Single Answer)

H. C. F. of 10 x2 yz, 15 xy2z and 25 x2 y2z is

  1. 25 x2 y2 z2
  2. 5 xyz
  3. 10 xyz2
  4. 150 x2 yz
Question 12 Multiple Choice (Single Answer)

L.C.M of x (x - 1) (x + 2), x(x - 1) (x + 3) is

  1. x (x - 1) (x + 2)
  2. x (x - 1) (x + 2) (x + 3)
  3. (x - 1)2 (x + 3)
  4. None of these
Question 13 Multiple Choice (Single Answer)

L.C.M of 25, 125 and 625 is

  1. 25
  2. 625
  3. 125
  4. None of these
Question 14 Multiple Choice (Single Answer)

L.C.M of 25, 35 and 105 is

  1. 555
  2. 525
  3. 565
  4. 575
Question 15 Multiple Choice (Single Answer)

H.C.F. of 25, 125 and 625 is

  1. 125
  2. 25
  3. 625
  4. None of these
Question 16 Multiple Choice (Single Answer)

L.C.M. of (x - 1) and (x2 + x + 1) is

  1. x3 + 1
  2. x - 1
  3. x2 + x + 1
  4. x3 - 1
Question 17 Multiple Choice (Single Answer)

Highest common factor of 90 and 225 is

  1. 45
  2. 55
  3. 75
  4. 65
Question 18 Multiple Choice (Single Answer)

H.C.F of 4/9, 10/21 and 20/63 is

  1. 4/63
  2. 20/63
  3. 2/63
  4. 8/63
Question 19 Multiple Choice (Single Answer)

G.C.D of (x + y - z)7 and (x + y - z )11 is

  1. (x + y - z)18
  2. (x + y - z)4
  3. (x + y - z)7
  4. (x + y - z )11
Question 20 Multiple Choice (Single Answer)

The LCM of 4x2y, 6xy2 and 8x2y2 is

  1. 24x2y2
  2. 12xy
  3. 4xy
  4. None of these
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