Two tapes, red and green, with lengths of 415 feet and 780 feet respectively are to be cut into pieces of equal length without r

Question

3 years ago

5

emainder. Find the greatest possible length of the pieces.
Answer: _ feet

1 answer:

ICE Princess25 [194] · Answer 1 · 2022-07-02T02:08:17+03:00

Answer:

The greatest possible length of the pieces is 5 feet

Step-by-step explanation:

Red = 415 feet

Green = 780 feet

Find the greatest possible length of the pieces.

Find the Highest common factor

415 = 1, 5, 83, 415

780 = 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390 and 780

The Highest common factor of 415 and 780 is 5

The greatest possible length of the pieces is 5 feet

Red = 415/5

= 83 pieces

Green = 780/5

= 156 pieces