Find the greatest possible length (in meters) that can be used to exactly measure the lengths 6 m, 5 m 25 cm, and 12 m 50 cm.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 0.25 m.
Using the prime factorization method;
Prime factorization of 600 = 23 × 3 × 52
Prime factorization of 525 = 5 × 5 × 7 × 3
Prime factorization of 1250 = 5 × 5 × 5 × 5 × 2
Greatest possible length (in metres) = 5 × 5 = 25 cm or 0.25 m