Find the HCF of the following numbers by long division method .. [a]156,234and 351
Answers
AnsWer :
39.
Given :
Highest Common factor ( HCF ) of ( 156 , 234 and 351 ).
Solution :
We have No. 156 , 234 and 351.
Taking, 156.
\begin{gathered}\begin{array}{r | l} 3 & 156 \\ \cline{2-2} 2 & 52 \\ \cline{2-2} 2 & 26 \\ \cline{2-2} 13 & 13 \\ \cline{2-2} & 1 \end{array}\end{gathered}
3
\cline2−22
\cline2−22
\cline2−213
\cline2−2
156
52
26
13
1
Taking, 243.
\begin{gathered}\begin{array}{r | l} 3 & 234 \\ \cline{2-2} 2 & 78 \\ \cline{2-2} 3 & 39 \\ \cline{2-2} 13 & 13 \\ \cline{2-2} & 1 \end{array}\end{gathered}
3
\cline2−22
\cline2−23
\cline2−213
\cline2−2
234
78
39
13
1
And, Taking 351.
\begin{gathered}\begin{array}{r | l}3 & 351 \\ \cline{2-2} 3 & 117 \\\cline{2-2} 3 & 39 \\ \cline{2-2} 13 & 13 \\ \cline{2-2} & 1 \end{array}\end{gathered}
3
\cline2−23
\cline2−23
\cline2−213
\cline2−2
351
117
39
13
1
13.156⟶3×2×2×13.
\tt234 \longrightarrow3 \times 2 \times 3 \times 13.234⟶3×2×3×13.
\tt 351 \longrightarrow3 \times 3 \times 3 \time 13.351⟶3×3×3×13.
Common in all no is 13 and 3.
HCF = 13*3=> 39.
Therefore, the HCF of (156, 234 ,351) is 39.
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Answer:
HCF is 39
Step-by-step explanation:
