Highest Common Factors

Q. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other number is:

1. 283
2. 328
3. 279
4. 308

Q. The LCM and HCF of two numbers are 120 and 12 respectively. If one of the numbers is 24, find the other number.

1. 60
2. 30
3. 40
4. 120

Q.

The alternate numbers are always co-prime numbers.

1. False

2. True

Q.

What is the HCF of $15$ and $20$ and how?

Q.

If the HCF and LCM of two numbers are given as 5 and 100 and one of the numbers is 20, then the other number is ___.

1. 67

2. 34

3. 87

4. 25

Q.

HCF of two numbers must be less than either of the numbers.

1. whose sum of all its factors is equal to twice the number.

2. 27

Q.

Question 3

HCF of co-prime numbers 4 and 15 was found as follows by factorization: $4=2\times 2$ and $15=3\times 5$. Since there is no common prime factor, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?

Q.

.Find the greatest number which divides 1475 and 485 , leaving remainder 5 in each case.

Q.

Question 95

In the following question, state whether the given statement is true (T) or false (F).

If the HCF of two numbers is one of the numbers, then their LCM is the other number.

Q.

What is the HCF of $45,30,15$?

Q.

If the LCM of two numbers is 250 and their HCF is 10 and one of the two numbers is 25, find out the other number.

1. 200

2. 150

3. 125

4. 100

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

Q.

Find the L.C.M and H.C.F of $\frac{2}{3}$, $\frac{10}{27}$.

1. L.C.M is $\frac{10}{3}$ and H.C.F is $\frac{2}{27}$

2. H.C.F is $\frac{10}{3}$ and L.C.M is $\frac{2}{27}$

3. L.C.M is $\frac{1}{30}$ and H.C.F is $\frac{21}{27}$

4. L.C.M is $\frac{1}{3}$ and H.C.F is $\frac{2}{27}$

Q.

If the product of two numbers is $1250$ and LCMis $10$, so find theHCF.

Q.

Question 96

In the following question, state whether the given statement is true (T) or false (F).
The HCF of two numbers is lesser than the smaller of the two numbers.

Q.

H.C.F of two co prime numbers is always 2.

1. 0

2. 1

Q.

If HCF and LCM of two numbers are 0.5 and 2.5 respectively and one of the numbers is 2.0, what is the other number?

1. 0.825

2. 0.625

3. 0.25

4. 2.5

Q.

The greatest common divisor of two co-primes is ___ .

Q. To get the HCF by long division method, comparison of two numbers is not required.

1. True
2. False

Q. The H.C.F of two co prime numbers is .

1. 1
2. \N
3. 2

Q.

For the given two numbers, we get LCM if we divide their product by HCF.

1. False

2. True

Q.

Two numbers having ___ as a common factor are called ___ numbers.

1. 2, twin prime

2. 1, twin prime

3. 2, co-prime

4. 1, co-prime

Q. If D is the HCF of 56 and 72 find x , y satisfying b = 56 X + 72 y

Q. How many factors does 6 have?

1. 1
2. 2
3. 4
4. Infinitely many

Q.

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

1. 39

2. 37

3. 33

4. 34

Q. To get the HCF by long division method, comparison of two numbers is required.

1. True
2. False

Q. How many factors does 6 have?

1. 1
2. 2
3. 4
4. Infinitely many

Q. What is the H.C.F. of $4\times 27\times 3125,8\times 9\times 25\times 7,16\times 81\times 5\times 11\times 49?$

1. $180$
2. $360$
3. $540$
4. $1260$

Q. Write all the factors of 36.

Q.

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

1. Product of the numbers and their L.C.M

2. Product of the numbers

3. Quotient of the numbers

4. Product of the numbers their L.C.M