Greatest Common Divisor or Highest Common Factor

A small-scale industry made different kinds of bulbs. The details are as follows:

These bulbs are packed in cartons. Each carton con­tains same number of bulbs and only one variety. Find the minimum number of cartons required to pack these bulbs.

There are $72$ green colour, $144$ red colour and $234$ orange colour chairs in an auditorium. A boy want to put the chairs in rows such that each row is of the same coloured chairs and the number of chairs is equal in each row. Find the minimum number of rows of chairs in the auditorium.

Two bags of sugar contains $26 \mathrm{and} 39 \mathrm{kg}$ of sugar, respectively. What is the greatest weight that can be used to measure the weight in each bag an exact num­ber of times? How many times of kg will it take to weigh all the sugar in the two bags using this weight?

Miss Sumitha has three drumsticks in her kitchen which are $72 \mathrm{cm}, 90 \mathrm{cm} \mathrm{and} 84 \mathrm{cm}$, respectively. She wanted to cut them into equal size of pieces. Find the minimum number of pieces that she can cut.

There are three empty drums which can hold $384$ litres, $576$ litres and $288$ litres of water. Each of them is to be filled by using a measuring jar, a whole number of times. What is the largest possible capacity of the measuring jar with which we can fill all the three drums?

On her birthday, Jyothsna received three different cakes of weight $3 \mathrm{kg}, 2.6 \mathrm{kg}$ and $2 \mathrm{kg}$ from her father, mother and sister respectively. She cuts the three cakes into pieces of equal weights without any remainder. Find the minimum number of pieces that she can get from the three cakes.

Find the $\mathrm{HCF}$ of $48, 64, 80$ by prime factorisation method.

Find the $\mathrm{HCF}$ of $24, 60$ by prime factorisation method.

The greatest common factor of $9$ and $15$ is

The $\mathrm{HCF}$ and the $\mathrm{LCM}$ of two numbers are $2$ and $12$. Find the possible pairs of numbers.

Find the $\mathrm{HCF}$ of $72, 140, 256$ by division method.

Find the $\mathrm{HCF}$ of $84$ and $112$ by division method.

The product of two numbers is $1680$ and the $\mathrm{LCM}$ of two numbers is $420$. Find their $\mathrm{HCF}$.

Find the greatest number that divides $80$ and $115$ leaving remainders $8$ and $7$ respectively.

Find the greatest number that divides $160, 264$ leaving a remainder $4$ in each case.

How many $2$-digit twin primes exists?

List out all the $2$-digit prime numbers which are greater than $50$.

Which of the following pairs are not co-prime?

The $\mathrm{LCM}$ of $a$ and $b$ is $220$. Which of the following can be the $\mathrm{HCF}$ of $a$ and $b$?

Which of the following is the greatest measure that can be used to measure the quantities $68 \mathrm{m}, 102 \mathrm{m}, 119 \mathrm{m}$?