HCF & LCM Handout – 2
36.
What is the HCF of 260, 416, and 572?
a) 84 b) 52
c) 104 d) 26
37.
The greatest number which divides 115, 161,
and 253 is?
a) 23 b) 21
c) 31 d) 29
38.
What is the greatest number which will divide
504, 728, and 840 leaving no remainder in each case?
a) 53 b) 56
c) 108 d) 112
39.
What is the G.C.D of 23 × 32 × 5 x
7 , 22 × 33 × 52 x 11 and 24 × 3 × 5 3 x 72 is?
a) 30 b) 60
c) 48 d) 105
40.
GCD of 1.20, 0.72 0.54, and 0.6 is
a) 0.6 b) 0.06
c) 1.8 d) 0.9
41.
What is the HCF of 7/9, 14/15, and 28/33 ?
a) 7/495 b) 495/7
c) 7/990 d) None
42.
The product of two co-primes is 770. What is
the HCF of these numbers?
a) 15 b) 22
c) 1 d) 35
43.
Three numbers are in the ratio 12:5:9 and
their HCF is 21. The largest of the numbers is
a) 210 b) 189
c) 105 d) 252
44.
Three positive integers are in the ratio
4:5:11. If their G.C.D is 25, then their sum is?
a) 260 b) 500
c) 650 d) 640
45.
The H.C.F. of the two numbers is 16 and their
difference is 16. The numbers are?
a) 136,152 b) 144,196
c) 108,124 d) 80,96
46.
The size of the largest square slabs which
can be paved on the floor of a room 3 meters 76 cm. long and 6 meters 11 cm.
broad is __
a) 141 cm b) 94 cm
c) 47 cm d) 46 cm
47.
The greatest possible length of a scale that can be used to measure exactly 1 m 21 cm., 88 cm., 1 m 65 cm. and 1 m 76 cm.
is?
a) 15 cm. b) 11 cm.
c) 21 cm. d) 33 cm.
48.
The maximum number of persons among them 414
chocolates pens and 576 sweets can be distributed so that each
person gets the same number of chocolates and sweets.
a) 18 b) 21
c) 48 d) 36
49.
A room is 3 m 99 cm long and 5 m 89 cm broad.
It is required to pave the floor with minimum square tiles. What is the number
of tiles required for this purpose?
a) 391 b) 361
c) 19 d) 651
50.
At a school picnic, there are 108 girls and
198 boys. How many groups of equal capacity, with the maximum possible number
of students per group, can be formed while keeping the boys and girls
separated?
a) 18 b) 17
c) 16 d) 12
51.
An oil merchant has 63 liters of
olive oil and 105 liters of almond oil. If he wants to pack them in tins such
that each tin contains the same number of liters of oil and does not mix any
two kinds of oil in a tin, what is the least number of tins required?
a) 8 b) 6
c) 9 d) 12
52.
What is the greatest number which will divide
522 and 633 to leave the remainder of 4 in each case?
a) 13 b) 37
c) 41 d) 47
53.
What is the greatest number that will divide
162,283 and 340 to leave the remainder 6, 10, and 2 respectively?
a) 13 b) 26
c) 39 d) 1
54.
What is the greatest number that will divide
112, 160, and 304 leaving the same remainder in each case?
a) 96 b) 24
c) 48 d) 36
55.
What is the greatest number that will divide
1684, 2125, and 2755 leaving the same remainder in each case?
a) 126 b) 21
c) 41 d) 63
56.
The product of the two numbers is 1960 and
their HCF is 14. How many pairs of such numbers are possible?
a) 2 b) 3
c) 4 d) 5
57.
The sum of the two numbers is 144 and their
HCF is 16. How many such pairs of numbers are possible?
a) 0 b) 2
c) 2 d) 3
58.
The HCF of the two numbers is 28 and their
sum is 588. How many pairs of such numbers are possible?
a) 4 b) 5
c) 6 d) 8
59.
The product of the two numbers is 5766. If
their HCF is 31, then the greater number is
a) 186 b) 155
c) 62 d) 155
60.
The product of the two numbers is 12960 and
their G.C.D is 18. The numbers are?
a) 108,
120 b) 108,180
c) 40,324 d) 144,90
61.
If the HCF of two numbers (each greater
than 11) is 11 and LCM 792, then the sum of the number will be
a) 803 b) 418
c) 187 d) 297
62.
The HCF of two numbers is 54 and their sum is
1134, What is the difference between the numbers is
a) 378 b) 216
c) 270 d) 108
