Question

complete the HCF chart.some are done for you

Answer 1

Finding HCF

We express each number as the product of 1 and prime numbers:

• 3 = 1 × 3
• 6 = 1 × 2 × 3
• 9 = 1 × 3 × 3
• 12 = 1 × 2 × 2 × 3
• 15 = 1 × 3 × 5
• 18 = 1 × 2 × 3 × 3
• 24 = 1 × 2 × 2 × 2 × 3
• 30 = 1 × 2 × 3 × 5
• 36 = 1 × 2 × 2 × 3 × 3

Now we find HCF of given pairs:

• HCF(12, 3) = 1 × 3 = 3
• HCF(15, 3) = 1 × 3 = 3
• HCF(18, 3) = 1 × 3 = 3
• HCF(30, 3) = 1 × 3 = 3
• HCF(36, 3) = 1 × 3 = 3
• HCF(12, 6) = 1 × 2 × 3 = 6
• HCF(15, 6) = 1 × 3 = 3
• HCF(18, 6) = 1 × 2 × 3 = 6
• HCF(30, 6) = 1 × 2 × 3 = 6
• HCF(36, 6) = 1 × 2 × 3 = 6
• HCF(12, 9) = 1 × 3 = 3
• HCF(15, 9) = 1 × 3 = 3
• HCF(18, 9) = 1 × 3 × 3 = 9
• HCF(30, 9) = 1 × 3 = 3
• HCF(36, 9) = 1 × 3 × 3 = 9
• HCF(12, 12) = 1 × 2 × 2 × 3 = 12
• HCF(15, 12) = 1 × 3 = 3
• HCF(18, 12) = 1 × 2 × 3 = 6
• HCF(30, 12) = 1 × 2 × 3 = 6
• HCF(36, 12) = 1 × 2 × 2 × 3 = 12
• HCF(12, 24) = 1 × 2 × 2 × 3 = 12
• HCF(15, 24) = 1 × 3 = 3
• HCF(18, 24) = 1 × 2 × 3 = 6
• HCF(30, 24) = 1 × 2 × 3 = 6
• HCF(36, 24) = 1 × 2 × 2 × 3 = 12

[ See the given attachment for the required chart. ]

Answer 2

Answer:

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