Grade 7 Maths Revision worksheet featuring exercises on factors, greatest common factors, and lowest common multiples.

Let's solve each part of this Grade 7 Maths Revision worksheet step by step.

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Part 1: List the factors for each number

We need to list all factors (numbers that divide evenly into the given number).

#### 1. 55
- Factors: 1, 5, 11, 55
*(Because: 1×55 = 55, 5×11 = 55)*

#### 2. 3
- Factors: 1, 3
*(Prime number)*

#### 3. 24
- Factors: 1, 2, 3, 4, 6, 8, 12, 24
*(Check pairs: 1×24, 2×12, 3×8, 4×6)*

#### 4. 94
- Factors: 1, 2, 47, 94
*(Even number → divisible by 2; 94 ÷ 2 = 47, which is prime)*

#### 5. 45
- Factors: 1, 3, 5, 9, 15, 45
*(Divisible by 3 and 5: 3×15, 5×9, etc.)*

#### 6. 1
- Factors: 1
*(Only one factor — itself)*

#### 7. 6
- Factors: 1, 2, 3, 6
*(1×6, 2×3)*

#### 8. 7
- Factors: 1, 7
*(Prime number)*

#### 9. 78
- Factors: 1, 2, 3, 6, 13, 26, 39, 78
*(Even → divisible by 2; 78 ÷ 2 = 39 → 3×13 → so 2×3×13)*

#### 10. 4
- Factors: 1, 2, 4
*(1×4, 2×2)*

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Part 2: Find the Greatest Common Factor (GCF)

We find the largest number that divides both numbers in each pair.

#### 11. 15 and 35
- Factors of 15: 1, 3, 5, 15
- Factors of 35: 1, 5, 7, 35
- Common factors: 1, 5
- GCF = 5

#### 12. 50 and 35
- Factors of 50: 1, 2, 5, 10, 25, 50
- Factors of 35: 1, 5, 7, 35
- Common factors: 1, 5
- GCF = 5

#### 13. 93 and 48
- Factors of 93: 1, 3, 31, 93
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Common factors: 1, 3
- GCF = 3

#### 14. 44 and 33
- Factors of 44: 1, 2, 4, 11, 22, 44
- Factors of 33: 1, 3, 11, 33
- Common factors: 1, 11
- GCF = 11

#### 15. 46 and 74
- Factors of 46: 1, 2, 23, 46
- Factors of 74: 1, 2, 37, 74
- Common factors: 1, 2
- GCF = 2

#### 16. 70 and 90
- Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70
- Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Common factors: 1, 2, 5, 10
- GCF = 10

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Part 3: Find the Lowest Common Multiple (LCM)

We find the smallest number that is a multiple of both numbers.

#### 17. 8 and 7
- Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...
- Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...
- First common multiple: 56
- Since 8 and 7 are coprime (no common factors other than 1), LCM = 8 × 7 = 56

#### 18. 9 and 10
- Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...
- Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, ...
- First common multiple: 90
- Again, coprime → LCM = 9 × 10 = 90

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✔ Final Answers:

#### List the factors:
1. 55 → 1, 5, 11, 55
2. 3 → 1, 3
3. 24 → 1, 2, 3, 4, 6, 8, 12, 24
4. 94 → 1, 2, 47, 94
5. 45 → 1, 3, 5, 9, 15, 45
6. 1 → 1
7. 6 → 1, 2, 3, 6
8. 7 → 1, 7
9. 78 → 1, 2, 3, 6, 13, 26, 39, 78
10. 4 → 1, 2, 4

#### Greatest Common Factor (GCF):
11. 15 & 35 → 5
12. 50 & 35 → 5
13. 93 & 48 → 3
14. 44 & 33 → 11
15. 46 & 74 → 2
16. 70 & 90 → 10

#### Lowest Common Multiple (LCM):
17. 8 & 7 → 56
18. 9 & 10 → 90

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✔ Tip: To check GCF, use prime factorization or Euclidean algorithm. For LCM, you can use:
> LCM(a,b) = (a × b) / GCF(a,b)

But since these numbers are small, listing multiples works fine.

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