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. 13)
13.
Reduce 128352 to its lowest terms.
238368
3
4
5
13
7
13
9
13
Answer: Option
Explanation:
 128352) 238368 ( 1
         128352
         ---------------
         110016 ) 128352 ( 1
                  110016
                 ------------------  
                   18336 ) 110016 ( 6       
                           110016
                           -------
                                x
                           -------
 So, H.C.F. of 128352 and 238368 = 18336.
 
             128352     128352 ÷ 18336    7
 Therefore,  ------  =  -------------- =  --
             238368     238368 ÷ 18336    13                    
Discussion:
59 comments Page 3 of 6.

Yuvaraj said:   7 years ago
128352/238368 is simplified to 12/23 (i.e first to digits from numerator and denominator)
It will give approximately 0.48.

Now check in options which one is nearer to 0.48.

7/13 is the answer.

Hope it helps.

Sandeep said:   1 decade ago
Hey, someone check option A.

You have checked---as-3*4 = Match the last number.

But why dint you check 4*2 this also match the last no 238368--match found, but option A is not true.

Shraddha said:   1 decade ago
Find the factors of 128352.

Then find the factors of 238368.

Cancel out the common factors.

It leads to the ratio of uncommon factors, i.e. 7/13, which is the lowest ratio.

Jiji said:   2 years ago
First, find the HCF of the numerator and denominator which is 18336, then divide both the numerator and denominator by 18336. Therefore, the answer is 7/13.
(25)

V!cky said:   10 years ago
391/667.

Guys you try this some from subtraction method you will get wrong answer.

Answer is 17/29. Subtraction method not always give correct answer.

Reeta said:   1 decade ago
Sona,

Result of 238368-128352=110016
128352-110016=18336
so
18336*7=128352
18336*13=238368
or
128352/18336=7
238368/18336=13

so ans.=7/13

Priya said:   1 decade ago
Its too lengthy method with very much calculation. Should we leave this type of questions in competitive exam. Or any short method also available. ?

Sona said:   1 decade ago
Hey Mehar

Result of 238368-128352=110016 not 10016.

How can we know that - At which stage we have to stop subtracting?

Please clarify!

Ammu said:   1 decade ago
We have to stop subtracting when the result becomes negative.

128352-110016 = 18336.

18336-110016 = negative number.

Piyush said:   2 decades ago
Isnt' thr a quicker way tpo find this ans??.. because the answer shown looks to be very time consuming.


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