HCF

Q. Find the highest common factor of 36 and 54.

1. 12
2. 14
3. 16
4. 18

Q. Which of the following is the greatest common factor of 12 and 30?

1. 12
2. 30
3. 5
4. 6

Q.

The product of two numbers is$2160$ and their HCF is $12$. Find their LCM.

Q.

Applications of LCM and HCF

Q.

The HCF and LCM of two numbers are $44$ and $264$ respectively. The first number when divided by $2$ gives $44$ as quotient. Find the second number.

Q.

Find the HCF of $144,252,630$ by prime factorisation method .

Q.

The product of two numbers is $150$ and their H.C.F. is $5$. What is the L.C.M. of the two numbers?

Q. Which is the highest common factor of 40 and 60? [4 marks]

Q. Two wires are 16 m and 24 m long. The wires are to be cut into pieces of equal length. Find the maximum length (in m) of each piece.

1. 4
2. 16
3. 6
4. 8

Q. Highest factor of 12 is

Q.

Words like ‘Greatest’, ‘maximum’, Largest’, ‘most’, ‘biggest’ etc are the keywords that help you to identify that it is a ___ problem.

1. Factor

2. Common factor

3. Highest common factor

4. Lowest common factor

Q.

The product of two numbers is 192. If their LCM is 48, then what will be their HCF?

1. 8
2. 10
3. 12
4. 4

Q.

Using prime factorisation find HCF of 64, 96, and 216

Q.

Find the HCF of the following by prime factorization method:

$72,162$

Q. HCF of any two prime numbers will always be

1. \N
2. 1
3. 2

Q.

Answer the following :

If the product of two numbers is $288$ and their HCF is $12$, what is their LCM?

Q. Can two numbers have 16as their hcf and 360 as their lcm. Give reason

Q. Which of the following is not a factor of 18?

1. 2
2. 3
3. 7
4. 9

Q. Find the HCF of 35 and 65.

Q. Find the greatest number that divides 44, 26 & 56 exactly?

1. 1
2. 4
3. 11
4. 2

Q. Find the greatest number that will divide 55, 127 and 175 so as to leaves the same remainder in each case

1. 1
2. 16
3. 24
4. 15

Q. In a class there are 18 chairs. If 6 chairs are arranged in a row, then how many such rows will be there in the classroom?

1. 1
2. 2
3. 3
4. 4

Q. 5 and 7 are examples of ________.

1. prime numbers
2. composite numbers
3. even numbers
4. None of the above

Q. Find the product of the HCF of 4, 6, and 8, 10.

1. 4
2. 6
3. 8
4. 10

Q. The HCF of 6 & 4 is

1. 1
2. 4
3. 6
4. 2

Q. The largest common factor of 12 and 18 is

1. 2
2. 3
3. 6
4. 12

Q. A shopkeeper wants to stack the juice cans and cold drink cans such that all stacks are of the same height. If there are 24 juice cans and 16 cold drink cans what will be the maximum height of the stacks if there are separate stacks for juice and cold drinks?

Q. The of any two numbers is the greatest number that divides both the numbers without leaving any

1. Factor
2. HCF
3. Remainder
4. Multiple

Q. The mast of a ship is of the length 6 km 885 m. The pirates use fabric pieces, each of length 85 m for making the mast.
How many pieces will they require for making the mast?

1. 81
2. 83
3. 85
4. 79

Q. In a school, there are three rows of bicycles, each with 8 bicycles. How many bicycles are in each row if they are placed in two rows equally? [2 marks]