The document Worksheet: HCF & LCM Notes | EduRev is a part of the Class 5 Course Mathematics for Class 5.

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**Question 1: Answer the following questions:**

- Write the first 3 multiples of 21.
- Which of the following numbers are composite?

2, 7, 15, 27, 29, 37, 53, 69, 87.

**Question 2: Write two prime numbers whose difference is 1.****Question 3: Write all composite numbers between 90 and 100.****Question 4: Which of the following pairs are coprime?**

- 18 and 30
- 35 and 52

**Question 5: Is it possible that a number is divisible by 8 but not divisible by 4?****Question 6: Which of these numbers are divisible by 3 or 4 or both?**

- 87,342
- 23,148

**Question 7: Test the divisibility of the following numbers by 3:**

- 90,82,746
- 70,335

**Question 8: Test the divisibility of the following numbers by 5:**

- 2,01,234
- 4,37,839

**Question 9: Test the divisibility of the following numbers by 9:**

- 3,478
- 8,74,512

**Question 10: Test the divisibility of the following numbers by 11:**

- 1,00,01,001
- 5,335

**Question 11: In each of the following numbers, replace * by the smallest number to make it divisible by 9:**

- 66784 *
- 5321 * 43

**Question 12: Test the divisibility of the following numbers by 4:**

- 7,314
- 9,31,105

**Question 13: Find the H.C.F. of:**

- 14 and 35
- 15 and 35
- 30, 75 and 90
- 8 and 40

**Question 14: Find all the common factors of:**

- 16 and 40
- 18 and 45
- 12 and 15
- 52 and 117

**Question 15: Find the L.C.M. of the following numbers:**

- 5 and 8
- 4 and 9
- 12 and 15
- 26 and 15
- 8, 10 and 12
- 6 and 10
- 9 and 11

**Question 16: Write in the product form:**

- 2
^{4}× 5^{2}× 3^{2} - 6
^{5}× 2^{6}× 3^{2} - 6
^{7}× 10^{5} - 4
^{8}

**Question 17: Fill the vacant circles in each of the following factor trees.****Question 18: Find the HCF of the following numbers by long division method:**

- 40, 75
- 24, 64
- 27, 45
- 81, 117
- 18, 45, 36
- 54, 96, 120
- 70, 98, 154

**Question 19: Find the L.C.M. by prime factorisation method:**

- 15 and 20
- 24 and 36
- 42 and 91
- 50 and 105
- 4, 36 and 52
- 10, 35 and 40
- 12 and 18

**Question 20: Answer the following questions:**

- The HCF of two numbers is 19 and their LCM is 228. If one of the numbers is 57, find the other.
- The product of two numbers is 25,024 and their H.C.F. is 8. Find their L.C.M.

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