If the HCF of two numbers is equal to one of the numbers, what can be inferred?
Practice Questions
1 question
Q1
If the HCF of two numbers is equal to one of the numbers, what can be inferred?
The numbers are equal
One number is a multiple of the other
The numbers are coprime
The numbers are both prime
If the HCF is equal to one of the numbers, it means that one number is a multiple of the other.
Questions & Step-by-step Solutions
1 item
Q
Q: If the HCF of two numbers is equal to one of the numbers, what can be inferred?
Solution: If the HCF is equal to one of the numbers, it means that one number is a multiple of the other.
Steps: 6
Step 1: Understand what HCF means. HCF stands for Highest Common Factor, which is the largest number that divides both numbers without leaving a remainder.
Step 2: Consider two numbers, let's call them A and B.
Step 3: If the HCF of A and B is equal to A, it means A is the largest number that can divide both A and B.
Step 4: Since A can divide itself, it also means that B must be a smaller number that can be formed by multiplying A by some whole number.
Step 5: Therefore, B is a multiple of A.
Step 6: Similarly, if the HCF is equal to B, then A must be a multiple of B.
