Question

1) The length breadth and hiegth of a room are 825cm,675cm and 450cm respectively find the longest tap which can measure the three limensions of the room exactly.​

Answer 1

Let us factorise all three given dimensions. Hence, 3, 5 and 5 are the common prime factors here. Therefore, we need 75 cm longest tape to measure the three dimensions of the room.

Answer 2

Answer:

We need to find H.C.F of 825, 675 and 450 which would be equal to the longest tape which can measure the three dimensions of the room exactly.

Let's find the prime factors of 825, 675 and 450.

825=3×5×5×11

675=3×3×3×5×5

450=2×3×3×5×5

3, 5 and 5 are the common prime factors.

Therefore. H.C.F =3×5×5=75

Therefore, 75 cm is the longest tape which can measure the three dimensions of the room exactly.

Step-by-step explanation:

hope it helps dear........