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Q.

The numbers 525 and 3000 both are divisible only by 3,5,15,25 and 75. What is the HCF (525,3000)?


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a

105  

b

95

c

85  

d

75 

answer is D.

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Detailed Solution

As it is given that the numbers are 525 and 3000 and both are divisible only by 3,5,15,25 and 75
Let us find the HCF of (525,3000)
HCF of two or more numbers is the highest number that divides the numbers exactly. Using the Euclid’s lemma ,
Since the numbers 525 and 3000 both are divisible only by 3,5,15,25 and 75.
So 75 is the highest common factor among the numbers.
Hence HCF (525,3000) = 75
So, the correct option is 4.
 
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