HCF (Highest Common Factor) & LCM (Lowest Common Multiple)Quiz

Callum and Emma are planning to share a rope for their school project. They found two ropes, one is 12 feet long and the other is 16 feet long. They want to cut them into pieces of equal length with no rope left over. What is the longest piece length they can cut the ropes into?

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• 6

• 8

Luka and Emma are planning a garden and want to create a path using tiles. Luka has tiles that are 6 inches wide, and Emma has tiles that are 8 inches wide. They want to use both sizes but need to find a tile width that is a multiple of both 6 and 8 inches so the path looks uniform. What is the smallest width of tile they can use for the path?

• 12

• 24

• 48

• 36

Luka and Emma are planning a garden and want to create rectangular plots. They decide that each plot should be as large as possible while still allowing them to use all of their 36 meters of fencing for one plot and 60 meters for another. What is the length of the longest side of the fence they can use for both plots?

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• 12

• 18

• 24

Luka and Emma are planning a garden and want to create a grid with equal rows and columns for 9 types of flowers and 12 types of herbs. What is the smallest grid size they can use so each type of plant has its own space?

• 36

• 72

• 108

• 144

Callum and Emma are planning to share a rectangular garden plot for their project. They want to divide the plot into square sections that are as large as possible while still being equal in size. If the garden plot is 48 feet by 64 feet, what is the length of one side of the square sections?

• 8

• 16

• 32

• 64

Callum and Emma are playing a game where they have to press their buzzers at intervals of 45 seconds and 30 seconds respectively. After how many seconds will they press their buzzers at the same time?

• 90

• 180

• 135

• 225

Callum and Luka decide to race around a park. Callum can jog around the park in 70 seconds, while Luka takes 105 seconds to complete the same distance. After how many seconds will they both meet at the starting point again?

• 210

• 315

• 420

• 525

Luka and Emma are planning a community garden and decide to plant two types of flowers. The first type needs to be watered every 15 days, and the second type needs to be watered every 20 days. After how many days will they have to water both types of flowers on the same day?

• 30

• 60

• 90

• 120

A teacher, Mrs. Thompson, wants to organize her class into teams for a science fair project. If the class can be divided equally into teams of 4, 5, or 6 students, and considering that Callum, Emma, Will, Mix, and Luka are eager to participate, what is the minimum number of students in Mrs. Thompson's class?

• 60

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• 240

Mix and Luka want to start their gym workout together and repeat it every few days. If Mix goes every 6 days and Luka every 8 days, after how many days will they go to the gym together again?

• 12

• 24

• 48

• 72