Applications of HCF & LCM

The video tutorial explains how to use the Highest Common Factor (HCF) and Least Common Multiple (LCM) to solve various problems. It begins with an introduction to HCF and LCM, followed by practical examples such as dividing pizzas into plates, forming student teams, buying sweets, and determining a house number. The tutorial emphasizes understanding factors and multiples to solve these problems effectively.

What is the main goal when using HCF in the pizza problem?

• To find the smallest number of plates

• To find the total number of slices

• To find the maximum number of plates with no slices left

• To find the average number of slices per plate

How do you determine the HCF of two numbers?

• By finding the common prime factors

• By subtracting the smaller number from the larger

• By multiplying the numbers

• By adding the numbers

In the pizza problem, how many slices of pepperoni pizza are on each plate?

• 1

• 4

• 2

• 3

In the student team problem, what is the largest number of students per team?

• 2

• 3

• 5

• 4

What is the HCF of 24 and 27?

• 5

• 4

• 2

• 3

What is the key concept when using LCM in the sweets problem?

• Finding the total number of sweets

• Finding the average number of sweets per pack

• Finding the largest number of sweets needed

• Finding the smallest number of sweets needed

What is the smallest number of any type of sweet you should have?

• 20

• 10

• 40

• 30

How do you find the LCM of several numbers?

• By adding the numbers

• By finding the common multiples

• By subtracting the smallest number

• By dividing the largest number

What is the LCM of 23 and 8?

• 184

• 92

• 46

• 368

What is the purpose of finding the LCM in the house number problem?

• To find the largest possible house number

• To find the smallest possible house number

• To find the average house number

• To find the total number of houses