Word Problems on GCD

Q.

Find the common factors of: $3x^2{y}^3,10x^3{y}^2,6x^2{y}^{2}z$

Q.

Find the common factors of:$2x,3x^2,4$

Q. 600 males and 492 females need to be transported from an island via sea. In each trip, number of males transported are same, and also number of females transported are same. The minimum number of passengers per trip is .

Q. 24 yellow flags and 32 green flags are to be arranged in such a way that maximum number of flags can be accommodated in one row, each row contains flags of only one colour and the number of flags in each row is the same, then we end up with

1. 6 rows of yellow flags and 8 rows of green flags
2. 3 rows of yellow flags and 4 rows of green flags
3. 12 rows of yellow flags and 16 rows of green flags
4. 4 rows of yellow flags and 4 rows of green flags

Q. A farmer decides to build an orchard with 32 orange trees, 24 mango trees and 40 pear trees. If each row has a similar type of fruit tree and equal number of fruit trees, the minimum number of possible rows is .

Q. The heights of two statues are 90 meters and 180 meters respectively. The greatest common divisor (GCD) of their heights is:

1. 45
2. 60
3. 90
4. None of the above

Q. Mason is preparing snacks for his friends who are heading over. He has 12 cookies and 18 slices of cheese. If he wants each plate to be identical, with no food left over, what is the greatest number of plates Mason can prepare?

1. 18
2. 3
3. 6
4. 12

Q. $600$ males and $492$ females need to be transported from an island via sea. Find the maximum number of trips required if number of males and number of females in each trip remains constant.

1. $6$
2. $4$
3. $10$
4. $12$

Q. Equal sizes of ribbon tape are to be cut from two cotton rolls of length $16\text{m}$ and $18\text{m}.$ Find the largest size of the ribbon tape such that there is no leftover.

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