Applications of HCF

Q. Ananya has 38 sharpners, 152 pencils and 114 erasers. How many maximum number of each one pencil box contains if she wants to pack same number of each in a number of pencil boxes.

1. 4 sharpner,
   3 pencils,
   1 erasers
2. 1 sharpner,
   4 pencils,
   3 erasers
3. 1 sharpner,
   3 pencils,
   4 erasers
4. 2 sharpner,
   3 pencils,
   3 erasers

Q. The product of two numbers is 228. If their HCF is 12, then what will be their LCM?

1. 0

2. 20

3. 1

4. 19

Q. Two tanks A and B contain 85 litres and 68 litres of oil respectively. Find the maximum capacity of a container which can exactly measure the oil in both the tanks.

1. 15 litres
2. 17 litres
3. 19 litres
4. 13 litres

Q. The product of two numbers is 228. If their HCF is 12, then what will be their LCM?

1. 20

2. 1

3. 19

4. 0

Q. Ananya has 38 sharpners, 152 pencils and 114 erasers. How many maximum number of each one pencil box contains if she wants to pack same number of each in a number of pencil boxes.

1. 2 sharpner,
   3 pencils,
   3 erasers
2. 4 sharpner,
   3 pencils,
   1 erasers
3. 1 sharpner,
   4 pencils,
   3 erasers
4. 1 sharpner,
   3 pencils,
   4 erasers

Q. Two tanks A and B contain 85 litres and 68 litres of oil respectively. Find the maximum capacity of a container which can exactly measure the oil in both the tanks.

1. 15 litres
2. 17 litres
3. 19 litres
4. 13 litres

Q.

The product of two numbers is 600. If their HCF is 5, then what is their LCM?

1. 120

2. 60

3. 40

4. 50

Q.

The HCF of 75 and 90 is 15. What is their LCM?

1. 150
2. 180
3. 300
4. 450

Q. Janet has 28 green beads, 84 red beads and 56 orange beads. She wants to pack them such that each bag contains the same number of beads of each color. What is the greatest number of bags she can pack?

1. 14
2. 6
3. 7
4. 28

Q. 72 books were arranged equally on 8 shelves. How many books are there on each shelf?

1. 72

2. 8

3. 18

4. 9