GCD using Long Division Method

Q.

Find the square root of $54$ in radical form.

Q.

Find the square root of $216$.

Q.

Find the square root of $45$

Q.

Find a square root of $5929$ by prime factorization?

Q. Find the GCD of 12, 44 and 86 using long division method.

Q. Find the greatest common factor of 16 and 52 using long division method.

1. 4

Q. Find the GCD of $56$ and $80$ using long division method.

1. $4$
2. $6$
3. $8$
4. $12$

Q. Determine the GCD of $\sqrt{729}-\sqrt{324}$ and $\sqrt{32}\times \sqrt{18}$ using long division method.

Q. A company produces 12 defective bulbs out of 1, 000 bulbs. In the warehouse, bulbs are packaged in groups, each having identical numbers of bulbs. Find the maximum bulbs in each group such that no defective bulb is packaged with working bulbs, given that there is only one lot of manufactured bulbs.

Q. There are $45$ policemen and $18$ police dogs for a searching operation. They are distributed into smaller groups such that each group has equal strength in terms of police officers and police dogs, i.e., identical groups. Find the maximum possible such groups.

1. Eight
2. Nine
3. Twelve
4. None of the above

Q. Find the greatest common divisor (GCD) of $\sqrt{1,024}-\sqrt{225}$ and $\sqrt{18}\times \sqrt{8}$ using long division method.