H.C.F and L.C.M of Numbers with Explanation

Q1. when expressed in simplest form is:

A.
25

26
B.
15

16
C.
13

16
D.
17

26

Q2. The least number which is a perfect square and is divisible by each of the numbers 16, 20, and 24, is:

A. 6400 B. 14400
C. 3600 D. 1600

Q3. The sum of two numbers is 216, and their H.C.F. is 27. The numbers are:

A. 81, 189 B. 108, 108
C. 154, 162 D. 27, 189

Q4. The H.C.F of 204, 1190, and 1445 is:

A. 17 B. 4
C. 6 D. 18

Q5. L.C.M. of two prime numbers a and b (a > b) is 161. The value of 3b - a is:

A. -1 B. 1
C. -2 D. 2

Q6. The least number which when increased by 5 divisible by each one of 24, 32, 36 and 54, is:

A. 4320 B. 859
C. 427 D. 869

Q7. What is H.C.F. of 3556 and 3444 is:

A. 28 B. 26
C. 23 D. 25