Find the largest number that divides 623-729 and841 leaving remainders 3-9 and 1 respectively-

Question

Toppr Admin · Accepted Answer

This means we need to find- HCF of-xA0-623-x2212-3-729-x2212-9 and 841-x2212-1-x21D2-620-720-840102-x2223-x2223-x2223-x2223-620720840627284313642-x2234- HCF -10-xD7-2-xA0- -xA0- -xA0- -xA0- -xA0- -xA0-20

Find the largest number that divides $623, 729$ and $841$ leaving remainders $3, 9$ and $1$ respectively.

This means we need to find. HCF of
$623 - 3, 729 - 9$ and $841 - 1$
$\Rightarrow 620, 720, 840$
$\begin{matrix} 102 \end{matrix} ∣ ∣ ∣ ∣ \begin{matrix} 620 & 720 & 840 62 & 72 & 84 31 & 36 & 42 \end{matrix}$
$∴$ HCF $= 10 \times 2$
$= 20$

Find the largest number that divides 623,729 and841 leaving remainders 3,9 and 1 respectively.

This means we need to find. HCF of 623−3,729−9 and 841−1⇒620,720,840102∣∣ ∣∣620720840627284313642∴ HCF =10×2 =20

Find the largest number that divides $623, 729$ and $841$ leaving remainders $3, 9$ and $1$ respectively.

This means we need to find. HCF of
$623 - 3, 729 - 9$ and $841 - 1$
$\Rightarrow 620, 720, 840$
$\begin{matrix} 102 \end{matrix} ∣ ∣ ∣ ∣ \begin{matrix} 620 & 720 & 840 62 & 72 & 84 31 & 36 & 42 \end{matrix}$
$∴$ HCF $= 10 \times 2$
$= 20$