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Q.

Find the HCF of the following numbers: 510 and 92


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a

23

b

17

c

2

d

4 

answer is C.

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Detailed Solution

Concept- Step 1- We will do prime factorization of 510, we get
Question Image  510=2×3×5×17……  i  
Step 2- We will do prime factorization of 92, we get
Question Image 92=2×2×23………. ii  
From equation(i) and equation(ii), we get
510=2×3×5×17 92=2×2×23  
Here, 2 is the common factor of 510 and 92, therefore it is the highest common factor.
Hence, the correct answer is option 3.
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