Question

find the greatest possible length which can be used to measure exactly length 4m 95 cm and 9 M and 65 CM ​

Answer 1

Answer:

5 cm

Step-by-step explanation:

To measure 495 cm exactly, the length must be a divisor of 495.

Likewise, it is a divisor of 965.

So we need the HCF of 495 and 965.

Using Euclid's Algorithm:

965 = 1 × 495 + 470

495 = 1 × 470 + 25

470 = 18 × 25 + 20

25 = 1 × 20 + 5

20 = 4 × 5 + 0

So the HCF is 5.

Thus 5 cm is the greatest length that measures 495 cm and 965 cm exactlly.