HCF

Q.

Find the largest number that will divide 398 , 436 and 542 leaving remainders 7 , 11 and 15 respectively.

Q.

An army contingent of $616$ members is to march behind an army band of $32$ members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

Q. Find the H.C.F of 420 and 130 by iterative division method.

1. 2
2. 5
3. 10
4. 20

Q.

Find the largest number that divides 245 and 1029 leaving no reminder

Q.

The LCM of two coprime number is equal to the product of the two numbers.

1. True
2. False

Q.

If $\mathrm{LCM}(\mathrm{x},18)=36$ and $\mathrm{HCF}(\mathrm{x},18)=2$, then $\mathrm{x}$ is

1. $2$

2. $3$

3. $4$

4. $5$

Q.

HCF of $16$ and $24$ is

Q. Using the common factor method, find the HCF of 18, 27 and 36.

Q.

India and Sri Lanka play one day international series until one team wins $4$ matches.

No match ends in a draw.

The number of ways in which series can be won is:

1. $35$

2. $70$

3. $40$

4. None of these

Q. What is the largest factor of a number?

1. 2 times the number
2. 32 times the number
3. The number itself
4. None of the above

Q.

In which of the following expressions prime factorization has been done

1. $24=2\times 3\times 4$

2. $56=7\times 2\times 2\times 2$

3. $70=2\times 5\times 7$

4. $54=2\times 3\times 9$

Q. Find hcf of 378 180 420.

Q.

If $x$ and $y$ are two co-primes, then their L.C.M. is ?

1. $xy$

2. $x+y$

3. $\frac{x}{y}$

4. $1$

Q.

Question 195

The floor of a room is 8 m 96 cm long and 6 m 72 cm broad. Find the minimum number of square tiles of the same size needed to cover the entire floor.

Q.

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

1. 34

2. 37

3. 39

4. 33

Q.

I get confused when the minimum or maximum word is used in example of LCM/HCF. What should I do to overcome it?

Q.

What is the H.C.F of 25 and 65?

1. 13

2. 3

3. 7

4. 5

Q.

Product of two numbers is 375. If their L.C.M is 75, find their H.C.F.

1. 8

2. 9

3. 3

4. 5

Q.

Question 35
Which of the following pairs is not coprime?

(A) 8, 10
(B) 11, 12
(C) 1, 3
(D) 31, 33

Q.

The HCF of the co-prime number is always:

Q.

The H.C.F. of $989$ and $1892$ is $43$. Find their L.C.M.

Q. Which is the greatest number that will divide 137, 182 and 422, leaving the remainder 2 in each case?

1. 15
2. 20
3. 45
4. 90

Q. Using repeated substraction method find HCF of the following: 36 and 80

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

Q.

Find the HCF of $91$ and $112$ and $49$

Q.

Find H.C.F. of $576$ and $720$ if their L.C.M. is $2880$.

Q. Find the HCF of 12 and 27 by long division.

1. 9
2. 6
3. 12
4. 3

Q.

Find the H.C.F. by short division method:

$60,80,90$

Q.

Two consecutive odd prime numbers are called …… primes.

Q.

Find the HCF of 16 and 36.

1. 2

2. 3

3. 5

4. 4

Q.

Find the greatest number that will divide 79, 117 and 59 leaving the remainder 7, 9, and 11 respectively.