Question

find the HCF of the give numbers by division method = 825 , 675 , 450​

Answer 1

Answer:

Step-by-step explanation:

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.

\[825 = 3 \times 5 \times 5 \times 11\]

\[675 = 3 \times 3 \times 3 \times 5 \times 5\]

\[450 = 2 \times 3 \times 3 \times 5 \times 5\]

3, 5 and 5 are the common prime factors.

Therefore. H.C.F

\[=3 \times 5 \times 5=75\]

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