Question

d) 504 and 5 292 find the hcf​

Answer 1

Answer:

252 is your answer, I hope it is correct

Answer 2

✮$\large{\underline{\sf{Solution:-}}}$

⟿$\boxed{\sf{HCF = 252}}$

✮$\large{\underline{\sf{Explanation:-}}}$

• Now, taking 504:-

$\begin{gathered}\begin{tabular}{l|r}2&504\\\cline{1-2}2&252\\\cline{1-2}2&126\\\cline{1-2}3&63\\\cline{1-2}3&21\\\cline{1-2}7&7\\\cline{1-2}&1\end{tabular} \\ \end{gathered}$

• Now, taking 5292:-

$\begin{gathered}\begin{tabular}{l|r}2&5292\\\cline{1-2}2&2646\\\cline{1-2}3&1323\\\cline{1-2}3&441\\\cline{1-2}3&147\\\cline{1-2}7&49\\\cline{1-2}7&7\\\cline{1-2}&1\end{tabular} \\ \end{gathered}$

✮To find the HCF, multiply all the prime factors common to both numbers:-

⟿504 = 2 × 2 × 2 × 3 × 3 × 7

⟿5292 = 2 × 2 × 3 × 3 × 3 × 7 × 7

⟿ HCF = 2 × 2 × 3 × 3 × 7

⟿$\boxed{\sf{HCF = 252}}$

Therefore, HCF of 504 and 5292 is 252.