
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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