Class 5 Maths HCF and LCM Worksheet — Free Printable PDF
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⭐ MeritMate — Class 5 Maths: HCF and LCM
Curriculum-Aware · meritmate.in# Class 5 Mathematics Worksheet
Topic: HCF and LCM
Name: _________________ Date: _________________ Roll No: _______
Section A: Multiple Choice Questions
*(Choose the correct answer from the options given below)*
Q1. The HCF of 12 and 18 is:
a) 2
b) 4
c) 6
d) 9
Q2. The LCM of 4 and 6 is:
a) 2
b) 12
c) 24
d) 48
Q3. Which of the following pairs of numbers has HCF = 1?
a) 4 and 8
b) 6 and 9
c) 8 and 15
d) 12 and 18
Q4. The LCM of two numbers is always:
a) Smaller than both numbers
b) Equal to the smaller number
c) Greater than or equal to the largest number
d) Equal to their product
Q5. The HCF of 24, 36 and 48 is:
a) 6
b) 12
c) 24
d) 48
Section B: Fill in the Blanks
*(Fill in the blanks with the correct answer)*
Q6. The full form of HCF is ________.
Q7. The LCM of 5 and 7 is ________.
Q8. The HCF of two consecutive numbers is always ________.
Q9. The LCM of 8 and 12 is ________.
Q10. If the HCF of two numbers is 1, the numbers are called ________.
Section C: Short Answer Questions
*(Answer the following questions in short)*
Q11. Find the HCF of 16 and 24 using the listing method.
Q12. Find the LCM of 6, 8 and 12 using the prime factorisation method.
Q13. Two bells ring at intervals of 4 minutes and 6 minutes. If they ring together at 8:00 AM, after how many minutes will they ring together again?
Q14. Find the HCF and LCM of 15 and 20. Also verify that:
HCF × LCM = Product of the two numbers
Q15. What is the smallest number that is exactly divisible by 6, 9 and 12?
⭐ Answer Key
Class 5 · Maths · HCF and LCM# Answer Key
Section A: Multiple Choice Questions
| Question | Answer | Explanation |
|----------|--------|-------------|
| Q1 | c) 6 | Factors of 12: 1,2,3,4,6,12 \| Factors of 18: 1,2,3,6,9,18 → Highest Common = 6 |
| Q2 | b) 12 | Multiples of 4: 4,8,12,16… \| Multiples of 6: 6,12,18… → Lowest Common = 12 |
| Q3 | c) 8 and 15 | Factors of 8: 1,2,4,8 \| Factors of 15: 1,3,5,15 → Only common factor = 1, so HCF = 1 |
| Q4 | c) Greater than or equal to the largest number | LCM is always the lowest common multiple, which is ≥ the largest number |
| Q5 | b) 12 | Factors of 24,36,48 → Highest common factor among all three = 12 |
Section B: Fill in the Blanks
| Question | Answer |
|----------|--------|
| Q6 | Highest Common Factor |
| Q7 | 35 *(5 × 7 = 35, as 5 and 7 are co-prime)* |
| Q8 | 1 *(e.g., HCF of 4 & 5 = 1; HCF of 7 & 8 = 1)* |
| Q9 | 24 *(Multiples of 8: 8,16,24… \| Multiples of 12: 12,24…)* |
| Q10 | Co-prime numbers *(also called relatively prime numbers)* |
Section C: Short Answer Questions
Q11. Find the HCF of 16 and 24:
- Factors of 16 → 1, 2, 4, 8, 16
- Factors of 24 → 1, 2, 3, 4, 6, 8, 12, 24
- Common Factors → 1, 2, 4, 8
- HCF = 8 ✅
Q12. Find the LCM of 6, 8 and 12 using Prime Factorisation:
- 6 = 2 × 3
- 8 = 2 × 2 × 2 = 2³
- 12 = 2 × 2 × 3 = 2² × 3
LCM = Highest power of each prime factor
→ LCM = 2³ × 3 = 8 × 3 = 24 ✅
Q13. Two bells ring together after:
- LCM of 4 and 6
- Multiples of 4 → 4, 8, 12, 16…
- Multiples of 6 → 6, 12, 18…
- LCM = 12 minutes
🔔 The bells will ring together again after 12 minutes, i.e., at 8:12 AM ✅
Q14. HCF and LCM of 15 and 20:
- Factors of 15 → 1, 3, 5,
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