If the HCF of three numbers is 1, which of the following can be true?

If the HCF of three numbers is 1, which of the following can be true?

Step 1: Understand what HCF means. HCF stands for Highest Common Factor, which is the largest number that divides all the given numbers without leaving a remainder.
Step 2: If the HCF of three numbers is 1, it means that there are no common factors among the three numbers other than 1.
Step 3: Recognize that prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves.
Step 4: If all three numbers are prime, they cannot share any factors other than 1, which means their HCF would be 1.
Step 5: Conclude that it is possible for all three numbers to be prime if their HCF is 1.

Highest Common Factor (HCF) – The HCF of a set of numbers is the largest number that divides all of them without leaving a remainder. If the HCF is 1, it indicates that the numbers are coprime, meaning they do not share any common factors other than 1.
Prime Numbers – Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. If all three numbers are prime, their HCF will also be 1.