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 |
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:
60 comments Page 4 of 6.
Kiruthiga.V said:
5 years ago
Thanks @Sona.
Acj said:
4 weeks ago
Step 1: Find HCF (GCD) of 128352 and 238368
Using Euclid’s method:
238368 − 128352 = 110016
128352 − 110016 = 18336
110016 ÷ 18336 = 6 (remainder 0)
HCF = 18336.
Step 2: Divide the numerator and denominator by HCF.
128352 ÷ 18336/238368 ÷ 18336 =7/13.
Using Euclid’s method:
238368 − 128352 = 110016
128352 − 110016 = 18336
110016 ÷ 18336 = 6 (remainder 0)
HCF = 18336.
Step 2: Divide the numerator and denominator by HCF.
128352 ÷ 18336/238368 ÷ 18336 =7/13.
Rosy said:
1 decade ago
238368-128352 = 110016.
128352-110016 = 18336.
110016-18336 = 91680.
18336-91680 = (negative, so not taken).
If we do 238362/91680 = 2.6(in decimal, so not taken).
And 128352/91680 =1.4 this too.
So now, take 128352/18336 = 7 and 238368/18336 = 13.
Two are integers, not in decimals.
So we take this value friends.
Now answer is 7/13.
128352-110016 = 18336.
110016-18336 = 91680.
18336-91680 = (negative, so not taken).
If we do 238362/91680 = 2.6(in decimal, so not taken).
And 128352/91680 =1.4 this too.
So now, take 128352/18336 = 7 and 238368/18336 = 13.
Two are integers, not in decimals.
So we take this value friends.
Now answer is 7/13.
Mamta said:
2 decades ago
Is the procedure is method or just trick?
Tony said:
2 decades ago
Is there is any other method?
Chinmaya said:
2 decades ago
What's the quick procedure for this ?
Priya said:
2 decades 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. ?
Priya said:
2 decades ago
Please provide me the short cut method.
Mehar said:
1 decade ago
Quick process:
238368- 128352=10016;128352-10061=18336;
check multiple which gives last digit of the given numbers..
So
18336*7=128352;
18336*13=238368;
ans:7/13;
We no need to multiply fully we have to check whether the last 2 digits (1st & 10th places)only.if have any confusion rise a ticket..
238368- 128352=10016;128352-10061=18336;
check multiple which gives last digit of the given numbers..
So
18336*7=128352;
18336*13=238368;
ans:7/13;
We no need to multiply fully we have to check whether the last 2 digits (1st & 10th places)only.if have any confusion rise a ticket..
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!
Result of 238368-128352=110016 not 10016.
How can we know that - At which stage we have to stop subtracting?
Please clarify!
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