12,18 and 24 Find HCF of given set of numbers.
Answers
Answered by
4
12=2^2*3
18=3^2*2
24=2^3*3
hcf(12,18,24)=2*3=6
Answered by
1
Answer: 6
Step-by-step explanation:
Resolve given Numbers
into prime factors,
12 = 2 × 2 × 3 = 2² × 3¹
18 = 2 × 3 × 3 = 2¹ × 3²
24 = 2×2×2×3 = 2³ × 3¹
Now ,
HCF of ( 12 , 18 , 24 ) = Product
of the smallest power of each
common prime factors of the
numbers
= 2¹ × 3¹
= 6
••••
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