Question

Find the hcf in 180,192 and 336

Answer 1

Answer:

Step-by-step explanation:

180)192(1

      180

------------

     12 )180(15

           180

      --------------

             0

12)336(28

    24

----------

   96

   96

--------

  0

so H.C.F of 180,192 and 336 is 12

Answer 2

answer is 36

I done this answer by the method of prime factorization method

[ 180 prime factors are :- 2×2×3×3×5×1

192 prime factors are :- 2×2×2×2×2×2×3×1

336 prime factors are :-2××2×2×2×3×7×1. ]

above brackets `[` `]`

$180 = {2}^{2} \times {3}^{2} \times {5}^{1}$

$192 = {2}^{6} \times {3}^{1}$

$336 = {2}^{4} \times {3}^{1} \times {7}^{1}$

to know the answer from above boxes hcf: smallest power with common of prime factors

${2}^{2} \times {3}^{2} \times {1}^{1} = 36$

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