Applications of HCF

Q.

The H.C.F. of two numbers $833$ and $1071$ is $119$. Find their L.C.M.

Q.

Two containers have $70$ and $175$litres of milk respectively. Find the maximum capacity of a container which can measure the milk in each container an exact number of times in litres.

Q. Two buckets contain 15 and 35 litres of water respectively.
Find the maximum capacity of a jug that can measure the water of the two buckets an exact number of times.

1. 1
2. 3
3. 5
4. 7

Q. Two sticks are 10 m and 25 m long. The sticks are to be cut into pieces of equal length. Find the maximum length of each piece.

1. 1
2. 2
3. 5
4. 10

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. 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