A teacher has 48 pencils and 60 erasers. She wants to distribute them equally am
Practice Questions
Q1
A teacher has 48 pencils and 60 erasers. She wants to distribute them equally among students. What is the maximum number of students she can distribute to? (2023)
12
6
8
10
Questions & Step-by-Step Solutions
A teacher has 48 pencils and 60 erasers. She wants to distribute them equally among students. What is the maximum number of students she can distribute to? (2023)
Step 1: Identify the two numbers you have: 48 pencils and 60 erasers.
Step 2: Find the factors of 48. The factors are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Step 3: Find the factors of 60. The factors are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
Step 4: List the common factors of both 48 and 60. The common factors are: 1, 2, 3, 4, 6, 12.
Step 5: Identify the highest common factor (HCF) from the common factors. The highest common factor is 12.
Step 6: Conclude that the maximum number of students she can distribute the pencils and erasers to equally is 12.
Highest Common Factor (HCF) – The HCF is the largest number that divides two or more numbers without leaving a remainder, which in this case helps determine how many students can receive an equal number of pencils and erasers.
