Find the greatest possible distance, which can be used to measure the distances 5 m, 3 m, 12 cm, 9 m and 76 cm exactly.

প্রশ্ন : Find the greatest possible distance, which can be used to measure the distances 5 m, 3 m, 12 cm, 9 m and 76 cm exactly.
সমাধান :
The greatest possible distance which can measure 5 m, 3 m, 12 cm, 9 m and 76 cm = HCF of (5 m, 3 m, 12 cm, 9 m and 76 cm)

⇒ HCF of (500 cm, 300 Cm, 12 cm, 900 cm and 76 cm)
500 cm = 4 × 5 × 5 × 5
300 cm = 3 × 4 × 5 × 5
12 cm = 3 × 4
900 cm = 3 × 3 × 4 × 5 × 5
76 cm = 4 × 19

The required HCF = 4 cm

∴ The greatest possible distance is 4 cm.