Greatest Common Divisor (GCD)

Q. Consider the rectangle of dimension $9\text{cm}\times 6\text{cm}.$

Given rectangular shaped sheet gets divided into largest possible square shaped sheets such that no part of the rectangular sheet is left.
Which of the following is perimeter of largest possible square sheet?

1. $12\text{cm}$
2. $3\text{cm}$
3. $9\text{cm}$

Q.

Find the H.C.F. of $8$ and $12$ .

Q. Find the Greatest Common Divisor (GCD) of $10$ and $21.$

1. $2$
2. $3$
3. $1$
4. GCD does not exist.

Q. The greatest common factor of 92 and 50 is

1. 4
2. 2
3. 8
4. 10

Q. For two numbers, there exist no common prime factors. Find the GCD of those numbers.

Q. The greatest common divisor of $16,24$ and $36$ is

1. $2$
2. $4$
3. $8$
4. $16$

Q. A rectangular floor has dimensions 28 units by 21 units, and needs to be covered by identical square tiles. What’s the maximum length of the square tile that can evenly cover the entire floor?

1. $1\text{unit}$
2. $3\text{units}$
3. $7\text{units}$
4. $21\text{units}$

Q.

Find the L.C.M of $8$ and $12$ by listing multiples.

Q. Find the largest factor that is common to both $27$ and $36.$

1. $3$
2. $8$
3. $9$
4. $18$

Q.

How do you find the GCD of two numbers?

Q. The greatest common divisor of $7,9$ and $21$ is $1.$

1. True
2. False

Q.

Find the H.C.F. of $18$ and $48$ .

Q. Greatest Common Factor or Greatest Common Divisor (GCD) of two or more numbers is the (largest/smallest) number that divides evenly into each of the given numbers.

Q.

Find the H.C.F. using the method of common factors

$\text{28 and 126}$