Before Applying job posting in any websites or recruiting agencies or sending resumes to job recruiters or any other employment website you need to improve your skills on general knowledge, Aptitude, Puzzles, logical reasoning, general english, database, programming as per your job profile. Job recruiters or mostly preferring job candidates who are having more stuff in those categories mentioned above. So improving more skills on your job profile always boost up your career and your performance. Even hiring companies and job recruiters who are looking for many job posting websites actually they are looking and filtering on these activities. In these H.C.F and L.C.M. Of Numbers section you need to update more questions to perform well in front of job recruiters and companies. H.C.F and L.C.M. Of Numbers Interview questions are most important to score in interview, Update all questions to score well in all rounds in job interview.

# H.C.F and L.C.M interview questions and answers

**16)
The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F. ?
**

- 8
- 12
- 24
- 35

**Answer**- d) 35
**Solution**-
Since H.C.F. is always a factor of L.C.M., We cannot have three numbers with H.C.F. 35 and L.C.M. 120.

**17)
The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M. ?
**

- 24
- 48
- 56
- 60

**Answer**- d) 60
**Solution**-
H.C.F. of two numbers divides their L.C.M. exactly.

Clearly, 8 is not a factor of 60.

**18)
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two
numbers is :
**

- 276
- 299
- 322
- 345

**Answer**- c) 322
**Solution**-
The numbers are (23 * 13) and (23 * 14)

Larger number = (23 * 14) = 322.

**19)
About the number of pairs which have 16 as their H.C.F. and 136 as their L.C.M., We can definitely say that :
**

- no such pair exists
- only one such pair exists
- only two such pair exist
- many such pair exist

**Answer**- a) no such pair exists
**Solution**-
Since 16 is not a factor of 136, it follows that there does not exist any pair of numbers with H.C.F. 16 and L.C.M. 136.

**20)
The greatest number that exactly divides 105, 1001 and 2436 is :
**

- 3
- 7
- 11
- 21

**Answer**- b) 7
**Solution**-
H.C.F. of 2436 and 1001 is 7. Also, H.C.F. of 105 and 7 is 7.

H.C.F. of 105, 1001 and 2436 is 7.