Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 1)
1.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Answer: Option
Explanation:
Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)
= H.C.F. of 48, 92 and 140 = 4.
Discussion:
216 comments Page 12 of 22.
Asif said:
1 decade ago
Please if you know this answer you tell with clarification.
Jayanta atkari said:
1 decade ago
(91 - 43 = 48) = 4*12.
(183 - 91 = 92) = 4*23.
(183 - 43 = 140) = 4*35.
Thus HCF is = 4.
(183 - 91 = 92) = 4*23.
(183 - 43 = 140) = 4*35.
Thus HCF is = 4.
Saumya tyagi said:
1 decade ago
Well I also cannot understand the correct logic of solving this question please explain.
Abhishek Ray said:
1 decade ago
Kindly revert back with logically, how this problem was processed?
VIGNESH KUMAR said:
1 decade ago
Simple way to calculate HCF:
2|48 92 140
-----------
2|24 46 70
-----------
|12 23 35
------------
Stop if you can't divide by common divisor, so answer = 2*2 = 4.
2|48 92 140
-----------
2|24 46 70
-----------
|12 23 35
------------
Stop if you can't divide by common divisor, so answer = 2*2 = 4.
Mandeep said:
1 decade ago
@Prashant.
P is not a dividend its divisor.
P is not a dividend its divisor.
Vamshi said:
1 decade ago
48, 92 and 140 = 4 how now am confusing, please explain.
Dhananjay said:
1 decade ago
@ Sanddep:
Have a look at explanation given by @Prasant. We have to solve equation for 'p'. Hence,we eliminate 'r' by taking differences of numbers.
Have a look at explanation given by @Prasant. We have to solve equation for 'p'. Hence,we eliminate 'r' by taking differences of numbers.
Dove said:
1 decade ago
I don't understand why you write 2*2 and say the answer is 4.
Neeraj said:
1 decade ago
Why we take HCF? When one should take LCM and HCF.
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