Problems on H.C.F and L.C.M

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Q. Find the H.C.F. of 45, 75, and 105.
  • A. 15
  • B. 5
  • C. 30
  • D. 45
Q. Find the H.C.F. of 48, 72, and 120.
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. Find the H.C.F. of 64 and 48.
  • A. 16
  • B. 8
  • C. 32
  • D. 24
Q. Find the L.C.M. of 14, 28, and 42.
  • A. 84
  • B. 56
  • C. 42
  • D. 28
Q. Find the L.C.M. of 18, 24, and 30.
  • A. 180
  • B. 120
  • C. 60
  • D. 90
Q. If the H.C.F. of two numbers is 1 and their L.C.M. is 36, what can be said about the two numbers?
  • A. They are co-prime
  • B. They are equal
  • C. They are both even
  • D. They are both odd
Q. If the H.C.F. of two numbers is 1 and their L.C.M. is 42, what can be said about the two numbers?
  • A. They are co-prime
  • B. They are equal
  • C. They are both even
  • D. They are both odd
Q. If the H.C.F. of two numbers is 1 and their L.C.M. is 60, what can be said about the two numbers?
  • A. They are co-prime
  • B. They are equal
  • C. They are both even
  • D. They are both odd
Q. If the H.C.F. of two numbers is 1, what can be said about the numbers?
  • A. They are prime
  • B. They are co-prime
  • C. They are equal
  • D. They are multiples
Q. If the H.C.F. of two numbers is 12 and their L.C.M. is 144, what is the product of the two numbers?
  • A. 1728
  • B. 144
  • C. 288
  • D. 864
Q. If the H.C.F. of two numbers is 15 and their L.C.M. is 150, what is the product of the two numbers?
  • A. 225
  • B. 1500
  • C. 75
  • D. 100
Q. If the H.C.F. of two numbers is 5 and their L.C.M. is 100, what is the product of the two numbers?
  • A. 500
  • B. 200
  • C. 100
  • D. 50
Q. If two numbers are in the ratio 3:4 and their H.C.F. is 2, what are the numbers?
  • A. 6 and 8
  • B. 4 and 6
  • C. 8 and 10
  • D. 10 and 12
Q. If two numbers are in the ratio 3:4 and their H.C.F. is 5, what are the numbers?
  • A. 15 and 20
  • B. 10 and 15
  • C. 5 and 10
  • D. 20 and 25
Q. What is the H.C.F. of 24 and 36?
  • A. 12
  • B. 6
  • C. 18
  • D. 24
Q. What is the H.C.F. of 64 and 48?
  • A. 16
  • B. 8
  • C. 32
  • D. 24
Q. What is the H.C.F. of 81 and 27?
  • A. 27
  • B. 9
  • C. 3
  • D. 81
Q. What is the L.C.M. of 14 and 35?
  • A. 70
  • B. 140
  • C. 28
  • D. 105
Q. What is the L.C.M. of 15 and 20?
  • A. 60
  • B. 30
  • C. 45
  • D. 75
Q. What is the L.C.M. of 5, 10, and 15?
  • A. 30
  • B. 15
  • C. 45
  • D. 60
Q. What is the L.C.M. of 6, 8, and 12?
  • A. 24
  • B. 48
  • C. 36
  • D. 60
Q. What is the L.C.M. of 8 and 12?
  • A. 24
  • B. 48
  • C. 36
  • D. 16
Q. What is the L.C.M. of 8, 12, and 16?
  • A. 48
  • B. 32
  • C. 64
  • D. 24
Q. What is the L.C.M. of 9 and 12?
  • A. 36
  • B. 18
  • C. 27
  • D. 24
Q. What is the L.C.M. of 9 and 15?
  • A. 45
  • B. 30
  • C. 60
  • D. 75
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