Answer:
42
Step-by-step explanation:
Given that,
210 oranges, 252 apples, 294 pears are equally packed in cartons so that no fruit is left.
The factor of 210 = 2×3×5×7
The factor of 252 = [tex]2^{2}\times 3^{2}\times 7[/tex]
The factor of 294 = [tex]2\times 3\times 7^{2}[/tex]
We need to find the biggest possible number of cartons needed. It can be calculated by taking HCF of the above numbers.
The HCF of 210, 252 and 294 = 2×3×7
= 42
Hence, 42 is the biggest possible number of cartons needed.