Question

if x= (2³×3²×7²) and y=(2⁴×3³×7) then HCF (x,y) =​

Answer 1

Answer:

HCF (X,Y) = 2²×3²×5

                = 180

Step-by-step explanation:

X = 2³×3²×5⁴

   = 2×2×2×3×3×5×5×5×5

Y = 2²×3²×5×7

    = 2×2×3×3×5×7

For HCF, take the common ones out from X and Y.

∴ 2, 2, 3, 3, 5 are the common ones in X and Y.

Now, multiply these numbers.

∴ HCF (X,Y) = 2×2×3×3×5

=2²×3²×5

= 180

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