Question

Determine the longest tape which can be used to measure exactly the length of 7m,3m 85cm,12m 95cm​

Answer 1

Answer:

The length of the longest tape is 35 cm which can be used to measure exactly the length 7 m, 3 m 85 cm and 12 m 95 cm.

Hope this helps you.....

Answer 2

Answer:

The three given lengths are 7m (700cm), 3m 85cm (385cm) and 12m 95m (1295cm).

(∵1m = 100cm).

∴ Required length = HCF (700, 385, 1295)

Prime factorization:

700 = 2 × 2 × 5 × 5 × 7 = 4 × 25 × 7

385 = 5 × 7 ×11

1295 = 5 × 7 × 37

∴HCF = 5 × 7 = 35

Hence, the greatest possible length is 35cm.