HCF

Q. Lilly is preparing dinner plates. She has 12 samosas and 16 rolls. If she wants to make all the plates identical without any food left over, what is the greatest number of plates Lilly can prepare ?

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

Q. Find the H.C.F of 24, 16, 36 and 48.

1. 5
2. 9
3. 1
4. 4

Q.

Find the HCF of the following numbers using division method.

$58,70$

Q. What is the H.C.F of 90 and 162?

1. 9
2. 18
3. 27
4. 3

Q.

Use prime factorisation find HCF of

66 and 330

Q. If 𝑝 and 𝑞 are two prime numbers, then their LCM is:

1. p + q
2. p - q
3. pq
4. 2pq

Q. Define co-prime numbers.

Q.

Two tankers contain $760litres$ and$1140litres$ of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times

Q.

Three cans contain $12L,16L$ and $24L$ of milk. A mug is filled with a whole number of times from each can. What is the greatest capacity of the mug?

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

Q.

The full form of LCM is __________and HCF is __________

1. Longest Common Multiple, Highest Common Factor

2. Least Common Multiple, Highest Common Factor

3. Least Common Multiple, Highest Common Fraction

4. None of These

Q.

Find the HCF of 360, 798 and 1260.

1. 18

2. 6

3. 14

4. 15

Q. Find the HCF of 288, 504, 648.

1. 84
2. 32
3. 64
4. 72

Q.

Find the greatest number that will divide 28, 143, 303 leaving the same remainder of 3 in each case.

1. 7

2. 6

3. 5

4. 8

Q. Choose the right option.
(i) The HCF of 120 and 150 is ................... .
(1) 30
(2) 45
(3) 20
(4) 120

(ii) The HCF of this pair of numbers is not 1.
(1) 13, 17
(2) 29, 20
(3) 40, 20
(4) 14, 15

Q. What is the greatest number which divides 134 and 167 leaving 2 as the remainder in each case?

1. 39
2. 33
3. 34
4. 37

Q. Which option represents the factors of the numbers 40 and 60 which can be written in the common (purple) part of the circle?

1. 1, 2, 4, 5, 15, and 25
2. 1, 2, 4, 5, 10, and 20
3. 1, 6, 4, 5, 10, and 25
4. 1, 2, 4, 8, 10, and 25

Q. Which numbers should replace the question mark?

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

Q. What is the largest number that divides $626$, $3127$ and $15628$ and leaves remainders of $1,2$ and $3$ respectively.

Q. Which option correctly represents all the factors of 36?

1. 1, 2, 3, 4, 5, 6, 12, 18 and 36
2. 1, 2, 3, 4, 7, 10, 12, 18 and 32
3. 1, 2, 3, 4, 6, 9, 12, 18 and 36
4. 4, 6, 9, 12, 18 and 36

Q.

What is the HCF of two co-prime numbers?

1. One of the given digit

2. $0$

3. $1$

4. $10$

Q.

The H.C.F. and L.C.M. of two numbers are $189$ and $8820$. If one of the numbers is $1323$, find the other number.

Q.

Two tankers contain $960$$L$ of petrol and $2048L$of petrol respectively .Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.

Q.

Three tankers contain $203$ litres , $319$ litres and $377$ litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of three tankers exact number of times.

Q. 9 and ___ are a co-prime pair.

1. 3
2. 18
3. 24
4. 35

Q.

Find the HCF of 147 and 168.

1. 24

2. 31

3. 21

4. 22

Q. What is the H.C.F of two numbers equal to?

1. Product of the numbers
2. Quotient of the numbers
3. Product of the numbers $÷$ their L.C.M
4. Product of the numbers $\times$ their L.C.M

Q. Multiply the following rational numbers.

(i) $\frac{3}{11}\times \frac{2}{5}$

(ii) $\frac{12}{5}\times \frac{4}{15}$

(iii) $\frac{\left(-8\right)}{9}\times \frac{3}{4}$

(iv) $\frac{0}{6}\times \frac{3}{4}$

Q. Kelly heard two bells ringing together at 8:00 AM. The first bell rings after every 525 seconds, and the second bell rings after every 700 seconds. When will they ring together again?

1. 8:45 AM
2. 8:35 AM
3. 9:25 AM
4. 8:25 AM

Q. $34$ marshmallows need to be equally distributed among $3$ friends. The number of left out marshmallow due to equal division is .