Question: If the H.C.F. of two numbers is 1 and their L.C.M. is 42, what can be said about the two numbers?
Options:
They are co-prime
They are equal
They are both even
They are both odd
Correct Answer: They are co-prime
Solution:
The two numbers are co-prime since their H.C.F. is 1.
If the H.C.F. of two numbers is 1 and their L.C.M. is 42, what can be said about
Practice Questions
Q1
If the H.C.F. of two numbers is 1 and their L.C.M. is 42, what can be said about the two numbers?
They are co-prime
They are equal
They are both even
They are both odd
Questions & Step-by-Step Solutions
If the H.C.F. of two numbers is 1 and their L.C.M. is 42, what can be said about the two numbers?
Step 1: Understand what H.C.F. means. H.C.F. stands for Highest Common Factor, which is the largest number that divides both numbers without leaving a remainder.
Step 2: Understand what L.C.M. means. L.C.M. stands for Lowest Common Multiple, which is the smallest number that both numbers can divide into without leaving a remainder.
Step 3: Note the given information: The H.C.F. of the two numbers is 1, and their L.C.M. is 42.
Step 4: Since the H.C.F. is 1, it means that the two numbers do not have any common factors other than 1.
Step 5: When two numbers have an H.C.F. of 1, they are called co-prime or relatively prime.
Step 6: Therefore, we can conclude that the two numbers are co-prime.
H.C.F. and L.C.M. – Understanding the relationship between the highest common factor (H.C.F.) and the least common multiple (L.C.M.) of two numbers.
Co-prime Numbers – Definition and properties of co-prime numbers, specifically that two numbers are co-prime if their H.C.F. is 1.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
