Question

if X=2³×3²×5⁴ and Y= 2²×3²×5×7 then hcf of X and y is​

Answer 1

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Answer 2

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