Find H.C.F. of \(20pq^{2}\) and \(10p^{2}q^{3}\).
Answer
Factors of given terms:
\(20pq^{2}=2\times2\times5\times p\times q\times q\)
\(10p^{2}q^{3}=2\times5\times p\times p\times q\times q\times q\)
\(\therefore\) H.C.F.\(=2\times5\times p\times q\times q=10pq^{2}\)
\(20pq^{2}=2\times2\times5\times p\times q\times q\)
\(10p^{2}q^{3}=2\times5\times p\times p\times q\times q\times q\)
\(\therefore\) H.C.F.\(=2\times5\times p\times q\times q=10pq^{2}\)
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