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 14 of 22.
Sandeep said:
1 decade ago
Why did we take the differences of the numbers?
Is this the only way to solve it by taking the differences if there is any other method then please reply?
Is this the only way to solve it by taking the differences if there is any other method then please reply?
Neeraj said:
1 decade ago
Why we take HCF? When one should take LCM and HCF.
Dove said:
1 decade ago
I don't understand why you write 2*2 and say the answer is 4.
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.
Vamshi said:
1 decade ago
48, 92 and 140 = 4 how now am confusing, please explain.
Mandeep said:
1 decade ago
@Prashant.
P is not a dividend its divisor.
P is not a dividend its divisor.
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.
Abhishek Ray said:
1 decade ago
Kindly revert back with logically, how this problem was processed?
Saumya tyagi said:
1 decade ago
Well I also cannot understand the correct logic of solving this question please explain.
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.
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