Long Division Method for H.C.F

Q.

Three numbers are in the ratio $3:4:5$, and their LCM is $2400$; then its HCF is ___?

Q.

Three tankers contain 144L, 18oL, 192L of kerosene oil .Find the Maximum capacity of a container which can measure kerosene oil of tankers when used an , exact no. Of times

Q.

Find the HCF of 180 and 336.

1. 52

2. 48

3. 12

4. 36

Q. Find the greatest number that will divide 18 and 48 without leaving a remainder.

Q.

Find the greatest number that divides each of 120, 144 and 204 completely.

1. 18

2. 15

3. 12

4. 34

Q.

The HCF of 5, 10, 20 is ___.

1. 10

2. 20

3. 1

4. 5

Q. Find the LCM of the following integers by applying the prime factorisation method.

Q.

Find the greatest number that exactly divides 180 and 452.

1. 8

2. 7

3. 4

4. 2

Q.

Which greatest number of 5 digits is exactly divisible by 60?

Q.

What will be the HCF of two consecutive odd numbers?

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

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

Q. If $\frac{45}{60}$ is equivalent to $\frac{3}{x}$, then x =

(a) 5
(b) 4
(c) 6
(d) 20

Q.

What is the maximum length of equal pieces of cardboard that Nirmala can get, if she breaks two bars of cardboard 84 cm and 156 cm long?

1. 14 cm

2. 15 cm

3. 16 cm

4. 12 cm

Q. Solve:

(i) $\frac{5}{12}+\frac{1}{12}$
(ii) $\frac{3}{15}+\frac{7}{15}$
(iii) $\frac{3}{22}+\frac{7}{22}$
(iv) $\frac{1}{4}+\frac{0}{4}$
(v) $\frac{4}{13}+\frac{2}{13}+\frac{1}{13}$
(vi) $\frac{0}{15}+\frac{2}{15}+\frac{1}{15}$
(vii) $\frac{7}{31}-\frac{4}{31}+\frac{9}{31}$
(viii) $3\frac{2}{7}+\frac{1}{7}-2\frac{3}{7}$
(ix) $2\frac{1}{3}-1\frac{2}{3}+4\frac{1}{3}$
(x) $1-\frac{2}{3}+\frac{7}{3}$
(xi) $\frac{16}{7}-\frac{5}{7}+\frac{9}{7}$

Q.

Which of the following is a perfect cube?

1. 532

2. 827

3. 729

4. 943

Q. The HCF and LCM of the numbers $780$ and $210$ are respective

1. $30,5460$
2. $60,2730$
3. $90,10920$
4. $Noneofthese$

Q.

What is the maximum length of equal pieces of cardboard that Nirmala can get, if she breaks two bars of cardboard 84 cm and 156 cm long?

1. 12 cm

2. 15 cm

3. 16 cm

4. 14 cm

Q.

What is the maximum length of equal pieces of cardboard that Nirmala can get, if she breaks two bars of cardboard 84 cm and 156 cm long?

1. 14 cm

2. 15 cm

3. 16 cm

4. 12 cm

Q.

Find the HCF of 147 and 168.

1. 22

2. 31

3. 21

4. 24

Q. 37.09 ___ 37.009.

1. >
2. <
3. =
4. None

Q.

Find the HCF of 200 and 225

1. 25

2. 5

3. 60

4. 75

Q. Find the LCM of the following integers by applying the prime factorisation method.

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.

Find the HCF of 360, 798 and 1260.

1. 6

2. 18

3. 15

4. 14

Q.

Three vessels of orange juice contain 9, 27 and 15 litres of juice respectively. Find the measure of a glass of maximum capacity that can exactly measure the juice in three of the vessels?

1. 9

2. 3

3. 4

4. 7

Q. Find the common factors of $15$ and $25$.

Q.

Find the largest number that will divide 623, 729 and 841 leaving a remainder of 3, 9 and 1 respectively.

1. 40

2. 80

3. 60

4. 20

Q. Ravish had 20 pencils, Sikha had 50 pencils and Priya had 80 pencils. After 4 months, Ravish used up 10 pencils. Shikha used up 25 pencils and Priya used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of their pencils?

Q.

The length, breadth and height of a container are $850$ cm, $650$ cm and $325$ cm respectively. Find the longest tape which can measure the dimensions of the container fully.

Q. What is the HCF of two consecutive even numbers?