Question

The length, breadth, height of a room are 320 cm, 300 cm and 240 cm respectively. Find the longest tape which can measure the dimensions of the room exactly.

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

Let us factorise all three given dimensions.

825 = 3×5×5×11

675=3×3×3×5×5

450=2×3×3×5×5

Hence, 3, 5 and 5 are the common prime factors here.

So, H.C.F =3×5×5=75

Therefore, we need 75 cm longest tape to measure the three dimensions of the room.