Method of Finding HCF

Q. What is the HCF of 296 and 324?

1. 9
2. 8
3. 4
4. 1

Q. SECTION A
Section A consists of 20 questions of 1 mark each.

1. If two positive integers $a$ and $b$ are written as $a=x^3{y}^{2}andb=x{y}^2$ where $x,y$ are prime numbers, then HCF $(a,b)$ is

1. $x{y}^2$
2. $x^2{y}^2$
3. $xy$
4. $x^3{y}^3$

Q.

In a school, there are 480 girls and 270 boys. Their auditorium is a little crowded, and so the teachers have to arrange the students in equal rows such that there are an equal number of boys in each of the boy’s row and an equal number of girls in each of the girl’s row. Find the minimum number of rows so that this is possible if no row contains both girls and boys.

1. 40

2. 25

3. 110

4. 30

Q.

Find the LCM and HCF of 12, 15 and 21 by applying the prime factorization method. [2 MARKS]

Q.

The G.C.D. of 1.08, 0.36 and 0.9 is

1. 0.9

2. 0.18

3. 0.36

4. 0.6

Q.

Find the largest number which can divide both 324 and 144.

1. 36

2. 18

3. 9

4. 21

Q.

Find the HCF of 360 and 18144 by prime factorization.

1. $2\times 3\times 5\times 7$

2. $2^3\times 3^4$

3. $2^3\times 3^2$

4. $2^5\times 3^2$

Q.

Using Euclid's division algorithm, find the HCF of 1650 and 847.

1. 10

2. 11

3. 12

4. 27

Q.

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. The sum of the digits in N is:

1. 4

2. 5

3. 7

4. 6

Q.

Find the HCF of 24, 32 and 36.

1. 4

2. 2

3. 3

4. 1