Please answer this question at earliest

  Dear Student,

We need to find H.C.F of 3675, 2100 and 1050 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 3675, 2100 and 1050.

3675=3×5×5× 7 x 7

 2100=2×2×3×5×5 x 7

3, 5, 5and 7 are the common prime factors.

Therefore. H.C.F =3×5×5 x 7= 525

Therefore, 525 cm is the longest tape which can measure the three dimensions of the room exactly.

Regards

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