Mr. Ben has three pieces of streamer of length 60 cm, 70 cm and 90 cm. He wishes to cut the three pieces of streamer into smaller pieces of equal length with no remainder.
- What is the greatest possible length of each of the smaller pieces of streamer?
- How many of the smaller pieces of streamer of equal length can he get?
(a)
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 70:1, 2, 5, 7, 10, 14, 35, 70
Factors of 90:1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The highest common factor of 60, 70 and 90 is 10.
Greatest possible length of each smaller piece of streamer = 10 cm
(b)
Total length of streamer
= 70 + 90 + 60
= 220 cm
Number of smaller pieces
= 220 ÷ 10
= 22
Answer(s): 10 cm; (b) 22