Question

The greatest possible length which can be used to measure exactly the lengths 7m,3m,85cm&12m,95c.​

Answer 1

Answer:

$7m = 700cm = 7 \times 2 \times 2 \times 5 \times 5$

$3m = 300cm = 3 \times 2 \times 2 \times 5 \times 5$

$85cm = 5 \times 17$

$12m = 1200cm = 2 \times 2 \times 3 \times 2 \times 2 \times 5 \times 5$

$95cm = 5 \times 19$

so greatest possible length is highest common factor = 5 cm.

Ans