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Rectangle cut into the largest equal squares: how many (HCF of the sides)

The same question, asked 2 times: CDS 1 2023*, CDS 1 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2023

    63
    A floor of a big hall has dimensions 30 m 60 cm and 23 m 40 cm. It is to be paved with square tiles of same size. What is the minimum number of tiles required ?

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  2. Question 2

    CDS 1 2024

    22
    A plank of wood 4.25 m long and 3.4 m wide is to be cut into square pieces of equal size. How many square pieces of largest size can be cut from the plank, if no wastage is allowed ?

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