Greatest Common Divisor (GCD)

Q. Greatest common divisor of two or more numbers is the largest number that divides evenly into each of the given numbers.

1. True
2. False

Q. Find the greatest common factor of 4 and 12 using prime factorization.

1. 1
2. 2
3. 3
4. 4

Q. 5 and are relatively prime numbers.

1. 15
2. 6
3. 10

Q. Greatest common divisor of 24 and 30 is:

1. 6

Q. There are 40 girls and 60 boys in the class. Their physical education instructor wants to divide them into groups with the equal number of girls and boys in every group. How many maximum groups will he form? Also, how many girls will be their in each group?

1. $20$ groups
2. $2$ girls in each group
3. $12$ groups
4. $20$ girls in each group

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. In the two rooms of Family Restaurant, Number of people sitting around each table in both rooms must be equal. A maximum of 54 people can sit in the first room and 36 people in the second. How many maximum chairs can be around each table?

1. $18$
2. $12$
3. $20$
4. $8$

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

Q. Find the greatest common divisor (GCD) of 60 and 282 using factor tree method.

Q. Pop the pairs of relatively prime numbers.

1. 4 & 7
2. 9 & 12
3. 5 & 6
4. 10 & 15
5. 3 & 4
6. 13 & 15
7. 21 & 25
8. 27 & 30

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 greatest common divisor (GCD) of 140, 210, and 350.

1. 20
2. 35
3. 105
4. 70

Q.

Find HCF of following numbers by using division method:

$183,488$