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• Quantities of three kinds of oil:
   ✓ 140 litres
   ✓ 260 litres
   ✓ 320 litres

We need to find the largest possible volume of a tin (in litres) such that all three oils can be exactly filled in separate tins of equal capacity.

🧠 This is a Highest Common Factor (HCF) problem.

✅ Step 1: Find the HCF of 140, 260, and 320

Let’s do the prime factorization:

• 140 = 2 × 2 × 5 × 7 = 2² × 5 × 7

• 260 = 2 × 2 × 5 × 13 = 2² × 5 × 13

• 320 = 2 × 2 × 2 × 2 × 2 × 5 = 2⁵ × 5

Now take the common factors:

• 2² = 4

• 5 = 5

HCF = 2² × 5 = 4 × 5 = 20

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✅ Final Answer: The volume of each tin will be 20 litres.

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