Math, asked by jyotirani751975, 3 months ago

HCF of x^3y^7z^2, x^4y^8, y^8z^2 is​

Answers

Answered by aryadeepde
0

Step-by-step explanation:

मुझे तुमसे प्यार कितना यह हम नहीं जानते हैं

Answered by mathdude500
2

Answer:

QUESTION :-

\bf \:HCF \: of \:  {x}^{3}  {y}^{7}  {z}^{2}, \:  {x}^{4}   {y}^{8} , {y}^{8}  {z}^{2}

ANSWER

GIVEN :-

\bf \:{x}^{3}  {y}^{7}  {z}^{2}, \:  {x}^{4}   {y}^{8} , {y}^{8}  {z}^{2}

TO FIND :-

  • HCF

SOLUTION :-

\bf \:{x}^{3}  {y}^{7}  {z}^{2}, \:  {x}^{4}   {y}^{8} , {y}^{8}  {z}^{2}

can be rewritten as

\bf\implies \:{x}^{3}  {y}^{7}  {z}^{2}, \:  {x}^{4}   {y}^{8} {z}^{0}  , {x}^{0}  {y}^{8}  {z}^{2}

\bf\implies \:HCF \: of \:  {x}^{3} , {x}^{4} , {x}^{0}  =  {x}^{0}  = 1

\bf\implies \:HCF \: of \:  {y}^{7} , {y}^{8} , {y}^{8}  =  {y}^{7}

\bf\implies \:HCF \: of \:  {z}^{2} , {z}^{0} , {z}^{2}  =  {z}^{0}  = 1

\bf\implies \:HCF \: of \: {x}^{3}  {y}^{7}  {z}^{2}, \:  {x}^{4}   {y}^{8} , {y}^{8}  {z}^{2}  = 1 \times  {y}^{7}  \times 1

\bf\implies \:HCF \: of \: {x}^{3}  {y}^{7}  {z}^{2}, \:  {x}^{4}   {y}^{8} , {y}^{8}  {z}^{2}  \:  =  {y}^{7}

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