HCF and LCM of Numbers

Two decimal numbers are $0.25$ and $0.65$. Their HCF and LCM are $0.05$ and $3.25$

Find the HCF and LCM of $0.102$ and $0.493$

Find the HCF and LCM of $0.38$ and $0.57$

$b\left\{\mathrm{H}.\mathrm{C}.\mathrm{F}.\left(a,a+b\right)\times \mathrm{L}.\mathrm{C}.\mathrm{M}.\left(a,a+b\right)\right\}=a\left\{\mathrm{H}.\mathrm{C}.\mathrm{F}.\left(b,a+b\right)\times \mathrm{L}.\mathrm{C}.\mathrm{M}.\left(b,a+b\right)\right\}$

If $\mathrm{H}.\mathrm{C}.\mathrm{F}.\left(a,b\right)=\mathrm{L}.\mathrm{C}.\mathrm{M}.\left(a,b\right)=a$, then the value of $\frac{b}{a}$ is ($a\ne 0$)

If the H.C.F of $a \text{and} b$ is $b$, then the L.C.M. of $a \text{and} b$ is

Find the least number which is divisible by $18,24$ and $42$

There are $40$ girls and $32$ boys, who want to participate in state-level games competition. If each team must have the same number of girls and the same number of boys.

What is the maximum number in each team that can participate in state-level games?

How many boys and girls will be on each team?

Find the least number of sheets of paper required to make notebooks containing $32$ sheets or $40$ sheets or $48$ sheets without a single sheet leaving behind.

What is the least number of chairs needed for an auditorium so that they can be arranged either $27$ in a row or $33$ in a row?

Two Neon lights are turned on at the same time. One blinks for every $4$ seconds and other blinks for every $6$ seconds. In $60$ seconds how many times will they blink at a time?

Ramu has $16$ blue marbles and $12$ white ones. If ha wants to arrange them in identical groups without leaving any marbles. What is the maximum number in each group Ramu can make? 

There are some fruits in a basket. If we arrange $4$ or $6$ or $8$ or $10$ fruits in a pile, no fruits are left in the basket. What is the minimum number of fruits in the basket?

What is length of largest tape which can measure the lengths of $24 \mathrm{m}$ and $30 \mathrm{m}$.

On a given road, the poles are erected at a distance of $24 \mathrm{m}$ each and pile of stones are lying at a distance of $30 \mathrm{m}$ each. If the $\mathrm{Ist}$ pile of stones is lying adjacent to the fist pole, at what distance will the pole and the pile of stones be together again ?

Three bells ring with a time gap of $10 \min , 15 \min$ and $20 \min$ respectively in a school. If all bells are rang together at $9:00 \mathrm{am}$ then after what time the bells would ring together again?

Three bells ring with a time gap of $10 \min , 20 \min$ and $30 \min$ respectively in a school. If all bells are rung together at $8:00 \mathrm{am}$ then after how long the bells would ring together again?

How many minimum number of students are required from a class to make groups of $4$ each and $5$ each so that no student is left ? 

One child jumps $3$ feet high and another jumps 4 feet high. If both the children continue jumping together in same direction then after how many feet they will be together again ? 

 Find the smallest number which is divisible by $12, 15$ and $20$ completely.