Question: If the H.C.F. of two numbers is 1, what can be said about the numbers?
Options:
They are prime
They are co-prime
They are equal
They are multiples
Correct Answer: They are co-prime
Solution:
If the H.C.F. of two numbers is 1, it means they are co-prime, having no common factors other than 1.
If the H.C.F. of two numbers is 1, what can be said about the numbers?
Practice Questions
Q1
If the H.C.F. of two numbers is 1, what can be said about the numbers?
They are prime
They are co-prime
They are equal
They are multiples
Questions & Step-by-Step Solutions
If the H.C.F. of two numbers is 1, what can be said about the numbers?
Step 1: Understand what H.C.F. means. H.C.F. stands for Highest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.
Step 2: Identify the meaning of H.C.F. being 1. If the H.C.F. of two numbers is 1, it means that the only number that can divide both of them evenly is 1.
Step 3: Recognize what it means for numbers to be co-prime. When two numbers have an H.C.F. of 1, they are called co-prime, meaning they do not share any other common factors.
Step 4: Conclude that the two numbers are co-prime. Therefore, if the H.C.F. is 1, the two numbers are co-prime.
Co-prime Numbers – Two numbers are co-prime if their highest common factor (H.C.F.) is 1, meaning they do not share any prime factors.
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