Finding Common Ground

The Greatest Common Divisor (GCD) is another name for:

What is the LCM of $6$ and $9$?

What is the HCF of $22$ and $33$?

What is the LCM of $1$ and any number $n$?

Find the smallest number which when decreased by $7$ is exactly divisible by $12, 16, 18,$ and $21$.

A library has $156$ books on Mathematics and $208$ books on Science. The librarian wants to arrange them in stacks such that each stack has the same number of books and contains only one subject. What is the maximum number of books that can be in each stack?

Two numbers are in the ratio $15:11$. If their HCF is $13$, find the numbers.

Find the HCF of $120, 144,$ and $160$.

The HCF of two numbers is $13$ and their LCM is $455$. If one of the numbers lies between $75$ and $125$, find that number.

Find the greatest number which divides $285$ and $1249$ leaving remainders $9$ and $7$ respectively.

What is the LCM of $3$ and $13$?

Calculate the LCM of $2$ and $11$.

What is the smallest number divisible by both $4$ and $7$?

Find the LCM of $32$ and $16$.

Find the LCM of $2.5, 0.5$ and $0.15$ by converting them to equivalent fractions or integers.

Two alarm clocks ring their alarms at intervals of $60$ seconds and $90$ seconds. If they beep together at $10:00$ AM, when will they next beep together?

Find the HCF of two numbers if their product is $2560$ and their LCM is $320$.

Find the least number which when divided by $3, 5, 6, 8, 10, 12$ leaves remainders $2$ in each case.

The HCF of two numbers is $12$ and their difference is $12$. If the numbers are between $1$ and $100$, how many such pairs exist?

What is the HCF of two consecutive odd numbers?

Which property is shown: $5 + (2 + 8) = (5 + 2) + 8$?

What is the sum of a number and its additive inverse?

What is the denominator of the integer $-6$ when written as a rational number?

If the rule for a sequence is $n^2$, what is the 4th term?

Evaluate $x^2 + 2x + 1$ for $x = -1$.

What should be the value of $a$ if the value of $2x^2 + x - a$ equals $5$, when $x = 0$?

In the expression $x^2y^2$, what is the power of $y$?

Find the value of $P$ in the equation: $2P - (3P - 5) = 10$.

The difference between two rational numbers is $\frac{2}{3}$. If the smaller number is $\frac{1}{4}$, find the larger number.

Simplify: $(-2) \times (-2) \times (-2) \times (-2) \times (-2)$.