Embibe Experts Solutions for Chapter: HCF and LCM, Exercise 7: EXERCISE

Find the $\mathrm{HCF}$ of $66, 154$ and $484$.

Find the $\mathrm{HCF}$ of $14, 36$ and $175$.

Find the $\mathrm{HCF}$ of $140, 210,$ and $350$.

There are two metal bars of lengths $72 \mathrm{cm}$ and $96 \mathrm{cm}$. Short bars of equal length are cut from both the metal bars. Find the largest possible length of each short bar.

A rectangular piece of metal sheet that measures $360 \mathrm{cm}$ by $280 \mathrm{cm}$ is cut into identical small squares pieces. Find the greatest possible length of a side of each square piece.

A rectangular piece of metal sheet that measures $360 \mathrm{cm}$ by $280 \mathrm{cm}$ is cut into identical small squares pieces. Find the greatest possible length of a side of each square piece and find the number of square pieces that can be obtained.

Find two pairs of different numbers such that their HCF is $18$.

Find three different numbers such that the HCF of each pair of these numbers is greater than $1$ but the HCF of all three numbers is $1$.

[HINT: For instance, the numbers $6, 10$ and $15$ satisfy the conditions]