Step $1$: Find $q_1$ and $r_1$ so that

$5,488=630*q_1+r_1,$ where

Then $r_1=5,488-630*q_1=$

Step $2$: Find $q_2$ and $r_2$ so that

$r_2=630-()q_2=q_3{r}_3{r}_3=*q_3=q_4{r}_4{r}_4=-(,)*q_4=q_5{r}_5{r}_5=-(,)*q_5=(5488,630)gcd(5488,630)=r_1-r_2*q_{4}gcd(5488,630)=r_3-r_4*q_5(5488,630)=r_4-r_5*q_{3}gcd(5488,630)=r_2-r_4*q_{5}gcd(5488,630)=r_2-r_3*q_{4}stgcd(5488,630)=5,488s+630ts=t=r_3=r_4*q_5+r_5,$ where $0r_5$

Then $r_5=-(,)*q_5=$

Step $6$: Conclude that $gcd(5488,630)$ equals which $of$ the following.

$gcd(5488,630)=r_1-r_2*q_4$

$gcd(5488,630)=r_3-r_4*q_5$

$gcd(5488,630)=r_4-r_5*q_3$

$gcd(5488,630)=r_2-r_4*q_5$

$gcd(5488,630)=r_2-r_3*q_4$

Conclusion: Substitute numerical values backward through the preceding steps, simplifying the results for each step, until you have found numbers $s$ and $tso$ that $gcd(5488,630)=5,488s+630t$

where $s=$ and $t=r_2=r_3*q_4+r_4,$ where $0r_4$

Then $r_4=-(,)*q_4=$

Step $5$: Find $q_5$ and $r_{5}so$ that

$r_3=r_4*q_5+r_5,$ where $0r_5$

Then $r_5=-(,)*q_5=$

Step $6$: Conclude that $gcd(5488,630)$ equals which $of$ the following.

$gcd(5488,630)=r_1-r_2*q_4$

$gcd(5488,630)=r_3-r_4*q_5$

$gcd(5488,630)=r_4-r_5*q_3$

$gcd(5488,630)=r_2-r_4*q_5$

$gcd(5488,630)=r_2-r_3*q_4$

Conclusion: Substitute numerical values backward through the preceding steps, simplifying the results for each step, until you have found numbers $s$ and $tso$ that $gcd(5488,630)=5,488s+630t$

where $s=$ and $t=r_1=r_2*q_3+r_3,$ where $0r_3$

Then $r_3=630=r_1*q_2+r_2,$ where $0r_2$

Then $r_2=630-()q_2=$

Step $3$: Find $q_3$ and $r_{3}so$ that

$r_1=r_2*q_3+r_3,$ where $0r_3$

Then $r_3=$