# HCF and LCM MCQ Questions

HCF and LCM MCQ Questions

1-If LCM of ‘’a’’ and ‘’b’’ is a and LCM of ‘’b’’ and ‘’c’’ is b, then what is the LCM of ‘’c’’ and ‘’a’’.

(A) a

(B) b

(C) c

(D) abc

2-The GCD and LCM of two polynomials are x+1 and x4-1 respectively. If one of the polynomials is x2+1, find other one

(A) x3-1

(B) (x + 1)(x2 – 1)

(C) x2 + x – 1

(D) x2 – x + 1

3-Find the Highest Common Factor of 4p2q3r, 8p3q2r2, 16p2q4r3

(A) 4p2q4r3

(B) 4p2q2r

(C) 16p2q2r

(D) 16p2q4r3

4-The H.C.F. of 2/3, 8/9, 64/81, 10/27 is

(A) 2/3

(B) 2/81

(C) 160/3

(D) 160/81

5-Find the HCF of 9a2b2, 18b2c2, 27c2a2

(A) 9

(B) 18

(C) 27

(D) 36

6-The HCF of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is

(A) 180

(B) 360

(C) 540

(D) 1260

7-Find the L.C.M. of 35 a2c3b, 42 a3cb2, 30 ac2b3

(A) 7 a2b2c2

(B) 210 abc

(C) 210 a3b3c3

(D) 210 a2b2c2

8-The H.C.F. and L.C.M. of two numbers are 50 and 250 respectively. If the first number is divided by 2, the quotient is 50. Find the second number

(A) 50

(B) 75

(C) 100

(D) 125

9-The HCF of 108, 360 and 408 is

(A) 6

(B) 10

(C) 12

(D) 14

10-The LCM of two numbers is 2079 then HCF is 27. If the 1st number is 189, then the 2nd number is

(A) 195

(B) 215

(C) 246

(D) 297