R. D. Sharma Solutions for Chapter: Real Numbers, Exercise 2: EXERCISE 1.2

Use Euclid's division algorithm to find the HCF of $136, 170$ and $255$.

Express the HCF of the following two numbers as a linear combination of them.

$963$ and $657$

If the linear combination is $657\times 22-963\times k$, find the value of $k$?

Find the HCF of the following pair of integers and express it as a linear combination of them.

$595$ and $252$

If the linear combination is $252\times 26-595\times k$ , find the value of $k$ ?

If the HCF of $506$ and $1155$ can be expressed as a linear combination of them as $506\times k-1155\times 7$, then find the value of $k$.

Find the HCF of the following pairs of integers and express it as a linear combination of them.

$1288$ and $575$

If the linear combination is $575\times 9-1288\times k$, find the value of $k$?

Find the largest number which divides $615$ and $963$ leaving the remainder $6$ in each case.

If the $\mathrm{HCF}$ of $408$ and $1032$ is expressible in the form $1032 m-408\times 5$, find $m$.

If the HCF of $657$ and $963$ is expressible in the form $657 x+963 \times \left(-15\right)$, find $x$.