GCD of More than 2 Numbers using Factor Tree

Q. A fruit vendor has $36$ bananas, $42$ apples, $30$ oranges and $24$ guavas. The fruit vendor decides to make identical fruit baskets. He wants at least one banana, apple, orange and guava in each basket. Find the maximum number of fruit baskets that can be made.

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

Q.

Find the product of all the prime factors of $616$.

1. $154$

2. $300$

3. $144$

4. None of the above

Q.

Write the set $C=\left\{2,3,5,7,11,13,17,19,23\right\}$ in set builder form.

Q. A fruit vendor has 36 bananas, 42 apples, 30 oranges and 24 guavas. The fruit vendor decides to make identical fruit baskets with the same number of bananas, apples, oranges and guavas in each basket. The minimum number of apples in each basket is .

Q.

What is the greatest common factor of $24s^3,12s^4$ and $18s?$

1. $3$

2. $6$

3. $3s$

4. $6s$

Q. Find the GCD of 18, 36 and 72 using Factor Tree.

Q. Evaluate the GCD of 28, 38, 48 and 58.

Q.

If ${\mathrm{F}}_{\mathrm{n}}$, denotes the set of factors of $\mathrm{n}$, then list the elements of ${\mathrm{F}}_{48}$, ${\mathrm{F}}_{60}$ and find the largest element in common factors of ${\mathrm{F}}_{48}$and ${\mathrm{F}}_{60}$.

Q. A cuboid has dimension of $6\text{m}\times 4\text{m}\times 8\text{m}.$ The cuboid is broken into maximum number of cubes such that no part of cuboid is left. Find the perimeter of one such cube.

1. $12\text{m}$
2. $8\text{m}$
3. $6\text{m}$