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Problems on HCF and LCM Question Quiz – 1

Q1. Find the HCF of 22×32×72,2×34× 128 126 146 434 Q2. Find the HCF of 54, 288, 360 18 36 54 108 Q3. Reduce 368575 to the lowest terms. 3025 2829 2829 1625 Q4. Reduce 803876 to the lowest terms. 1112 2324 2627 47 Q5. HCF of 22×32×52,24×34×53×11 is 24×34×53 24×34×53×11 22×32×52
By Radhika Rathore Oct 5, 2015, 18:39 IST

Q1.  Find the HCF of  22×32×72,2×34×

  1. 128
  2. 126
  3. 146
  4. 434
    Answer: Option B

    Explanation:

    HCF is Highest common factor, so we need to get the common highest factors among given values. So we got
    2 * 3*3 * 7

Q2.  Find the HCF of 54, 288, 360

  1. 18
  2. 36
  3. 54
  4. 108
    Answer: Option A

    Explanation:

    Lets solve this question by factorization method.

    18=2×32,288=25×32,360=23×32×5
    So HCF will be minimum term present in all three, i.e.

    2×32=18

Q3. Reduce   368575   to the lowest terms.

  1. 3025
  2. 2829
  3. 2829
  4. 1625
Answer: Option D

Explanation:

We can do it easily by in two steps
Step1: We get the HCF of 368 and 575 which is 23
Step2: Divide both by 23, we will get the answer 16/25

Q4. Reduce   803876   to the lowest terms.

  1. 1112
  2. 2324
  3. 2627
  4. 47
Answer: Option A

Explanation:

HCF of 803 and 876 is 73, Divide both by 73, We get the answer 11/12

Q5. HCF of  22×32×52,24×34×53×11 is

  1. 24×34×53
  2. 24×34×53×11
  3. 22×32×52
  4. 2×3×5
    Answer: Option C

    Explanation:

    As in HCF we will choose the minimum common factors among the given.. So answer will be third option

Q6.  What will be the LCM of 8, 24, 36 and 54

  1. 54
  2. 108
  3. 216
  4. 432
    Answer: Option C

    Explanation:

    LCM of 8-24-36-54 will be
    2*2*2*3*3*3 = 216

Q7. Find the HCF of  23,46,827

  1. 227
  2. 83
  3. 23
  4. 827
    Answer: Option A

    Explanation:

    Whenever we have to solve this sort of question, remember the formula.
    HCF = HCF of Numerators  LCM of Denominators

    So answers will be option 1

Q8. Find the LCM of 23,46,827

  1. 227
  2. 83
  3. 23
  4. 827
Answer: Option B

Explanation:

Whenever we have to solve this sort of question, remember the formula.
LCM = \\begin{aligned} \\frac{HCF of Denominators}{LCM of Numerators} \\end{aligned}
So answers will be option 2,
Please also give attention to the difference in formula of HCF and LCM

Q9.  Find the HCF of 2.1, 1.05 and 0.63

  1. 0.44
  2. 0.64
  3. 0.21
  4. None of above
    Answer: Option C

    Explanation:

    To solve this question quickly, first remove decimal by multiplying each term with 100,
    Then terms become 210, 105, 63
    Then HCF of above terms is 21,
    So Answer is 0.21

Q10. If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other

  1. 34
  2. 77
  3. 12
  4. 45
    Answer: Option B

    Explanation:

    For any this type of question, remember
    Product of two numbers = Product of their HCF and LCM

    So Other number = 693×1199 = 77