# H.C.F and L.C.M Problems Question & Answers

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is

A) 1677 | B) 1683 |

C) 2523 | D) 3363 |

Explanation:

L.C.M of 5, 6, 7, 8 = 840

Required Number is of the form 840k+3.

Least value of k for which (840k+3) is divisible by 9 is k = 2

Required Number = (840 x 2+3)=1683

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Submitted By: madhu9669Subject: H.C.F and L.C.M Problems - Quantitative Aptitude - Arithmetic Ability

The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is

A) 1008 | B) 1015 |

C) 1022 | D) 1032 |

Explanation:

Required Number = (L.C.M of 12, 16, 18,21,28)+7 = 1008 + 7 = 1015

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Submitted By: madhu9669Subject: H.C.F and L.C.M Problems - Quantitative Aptitude - Arithmetic Ability

Find the Greatest Number that will devide 43, 91 and 183 so as to leave the same remainder in each case

A) 4 | B) 7 |

C) 9 | D) 13 |

Explanation:

Required Number = H.C.F of (91- 43), (183- 91) and (183-43)

= H.C.F of 48, 92, and 140 = 4

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Submitted By: madhu9669Subject: H.C.F and L.C.M Problems - Quantitative Aptitude - Arithmetic Ability

A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?

A) 14 cms | B) 21 cms |

C) 42 cms | D) None of these |

Explanation:

Largest size of the tile = H.C.F of 378 cm and 525 cm = 21 cm

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Submitted By: madhu9669Subject: H.C.F and L.C.M Problems - Quantitative Aptitude - Arithmetic Ability

The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:

A) 91 | B) 910 |

C) 1001 | D) 1911 |

Explanation:

Required number of students = H.C.F of 1001 and 910 = 91

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Submitted By: madhu9669Subject: H.C.F and L.C.M Problems - Quantitative Aptitude - Arithmetic Ability