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Q.

The H.C.F. of 225 and 450 using the prime factorization method is ____.


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Detailed Solution

The H.C.F. of 225 and 450 using the prime factorization method is 225.
We have been given the numbers 225 and 450.
Prime factors of 225 and 450,
225=3×3×5×5  
450=2×3×3×5×5   Multiplying all the common prime factors to calculate the HCF.
The HCF of 225 and 450,
HCF =3×3×5×5=225  
Therefore, the HCF of 225 and 450 is 225.
 
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