Question

Tenemos tres tipos de aceites, 5000 l de aceite tipo A, 2500 l de aceite tipo B y 245 l de aceite tipo C. Si los quiero envasar en recipientes de igual capacidad y los mas grandes posibles, ¿cuántos recipientes necesito?

Answer 1

5 liters.

Explanation:

To solve this problem, we need to find the Greatest Common Factor (GCF) which is the greater factor possible in common for all three numbers 5000, 2500 and 245 liters.

5,000 | 2

2,500 | 2

1,250 | 2

625 | 5

125 | 5

25 | 5

5 | 5

1

So,
`5,000 = 2 * 2 * 2 * 5 * 5 * 5 * 5`,
`2,500 = 2 * 2 * 5 * 5 * 5 * 5`

245 | 5

49 | 7

7 | 7

1

`245 = 5 * 7 * 7`

As you can observe, the greatest common factor is 5, because it's the greater number in common for all three numbers.

Therefore, the greatest recipient possible must be 5 liters capacity.