Q.

A sweet shopkeeper prepares 396 gulab jamuns and 342 rasgullas. He packs them into containers, each container consists of gulab jamun or rasgulla, but has an equal number of pieces he should put in each container so that the number of containers is the least.


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a

16

b

10

c

15

d

18 

answer is D.

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Detailed Solution

Concept- Look at the definition of the highest common factor first, then try to connect it to the supplied question. Now divide the two integers into prime factors. Find the factor that has the highest common denominator; this result is necessary.
Express the number as
Question ImageWe may express the number 17 as, by dividing it by 3,
Question ImageWe may express the number 57 as, by dividing it by 3,
Question ImageThe expression 19 can be written as, by dividing it by 19,
Question ImageAs 1 was the quotient, we must stop at this step. 396's prime factorization yields, when divided by 2,Question ImageWe may express the number 198 as, by multiplying it by 2,
Question ImageBy dividing 99 byQuestion Image, we can represent it as,
Question ImageWe can represent the number 11 by 11 as,
Question ImageAs the quotient is 1, we must stop here. The most prevalent are 2, 3, and 3. As a result of these,
Highest common factor Question ImageHence, the correct answer is option 4
 
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