Answer:
ANSWER IS :-
Step-by-step explanation:
Given numbers = 54 and 114
To find HCF and LCM by prime factorization method, first we will find prime factors of given numbers.
Prime Factorization of 54:
54 = 2 × 27
= 2 × 3 × 9
= 2 × 3 × 3 × 3
Prime Factorization of 114:
114 = 2 × 57
= 2 × 3 × 19
HCF of 54 and 114 by prime factorization method:
Common factors in above prime factors of given numbers are underlined.
Common prime factors = 2, 3
Now we have to multiply these common prime factors to obtain the HCF of given numbers.
HCF = 2 × 3
= 6
∴ HCF(54, 114) = 6
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