HCF and LCM

Three different containers contain different quantities of a mixture of milk and water, whose measurements are $403 \mathrm{kg}, 434 \mathrm{kg}$ and $465 \mathrm{kg}$. What biggest measure be there to measure all the different quantities exactly?

Find H.C.F. Three number are in the ratio of $3 : 4 : 5$ and their L.C.M. is $2400$ ?

The $\mathrm{HCF}$ of two numbers is $3$ and their $\mathrm{LCM}$ is $60.$ If one of the numbers is $15.$ Find the other?

The product of two numbers is $2160$ and their HCF is $12$. If the sum of the squares of the two numbers is $4896$, then what is the mean of the two numbers?

What is the HCF of $3^{29}-9$ and $3^{38}-9$?

LCM of smallest two digit prime number and smallest odd prime number.

An army contingent of $616$ members to march behind an army band of $32$ members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?

Find LCM of $17, 23, 27$.

LCM of $24,36$ and $42?$

A boy was asked to find the LCM of $3, 5, 12$ and another number. But while calculating, he wrote $21$ instead of $12$ and yet came with the correct answer. What could be the fourth number? 

Find the H.C.F of $40, 56 \text{and} 60$.

Find the GCD  of $7x^2 \text{and} 21x$

How to do LCM of $23 \text{and} 35$?

Find the smallest number which when doubled will be exactly divisible by $4, 10 \text{and} 15$

Three bangles circumference measure $30 \mathrm{cm}, 40 \mathrm{cm}, \mathrm{and} 60 \mathrm{cm}$. If they are rolled in stairs they are moving simultaneously. What is the least distance they should cover so that each wheel makes a complete number of revolutions?

How to find lcm using prime factorization.

If $\left(\mathrm{x}+\mathrm{k}\right)$ is the HCF of ${\mathrm{x}}^2+\mathrm{px}+\mathrm{q}$ and  ${\mathrm{x}}^2+\mathrm{qx}+\mathrm{p}$ where $\mathrm{p}\ne \mathrm{q}$then what is the value of $\mathrm{k}$?

The greatest number, which when divide $989$ and $1327$ leave remainders $5$ and $7$ respectively, is:

The maximum number of students among whom $1001$ pens and $910$ pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is:

The product of two numbers is $2160$ and their HCF is $12$. Number of such possible pairs is