Show that the following pairs are co-primes:847, 1014 - Vidyadip

Question

Show that the following pairs are co-primes:847, 1014

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Answer

Given numbers are 847 and 1014.$\begin{array}{c|c}7&847\\\hline11&121\\\hline11&11\\\hline&1\end{array}$
$\begin{array}{c|c}2&1014\\\hline3&507\\\hline13&169\\\hline13&13\\\hline&1\end{array}$
$847=7\times11\times11\times1=7\times11^2\times1$
$1014=2\times3\times13\times13\times1$
$\therefore$ HCF = 1
Hence, 847 and 1014 are co-primes.

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