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Q.

The HCF of 180, 240 and 360 is-


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a

70

b

60

c

40

d

50 

answer is B.

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Detailed Solution

Concept- Prior to moving forward, it is important to understand that the long division method is not a basic sort of division because it is continuous and won't stop until the remainder is zero. The HCF is then 120, where 120 is defined as the last divisor that causes the division remainder to be zero (Highest Common Factor) . The next step is to conduct a long division once more to determine whether or not the final number, 120, is fully divisible by the previously discovered HCF.
In order to answer this question, we must use the long division method to determine the HCF of 180, 240, and 360.
Therefore, before moving on with this, it is important to understand that the following division is not a basic type of division because it is continuous and won't stop until the remainder is zero.
Therefore, starting with the two larger numbers of 240 and 360, divide them using the long division method as follows:
Question ImageHCF is defined as 120, which is the last divisor that causes the division residual to be zero, from the aforementioned long division done for the last two values, 240 and 360. (Highest Common Factor) .
Utilizing the previously discovered HCF, divide the final number, 120, once more to see if it is entirely divisible by the HCF or not.
Consequently, the long division of 180 and 120 is as follows:
Question ImageTherefore, it is evident from the computation above that the HCF is 60.
Hence, option 2 is correct.
 
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