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. 6)
6.
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
Answer: Option
Explanation:
Let the numbers be 37a and 37b.
Then, 37a x 37b = 4107
ab = 3.
Now, co-primes with product 3 are (1, 3).
So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111).
Greater number = 111.
Discussion:
76 comments Page 3 of 8.
Manikanta said:
7 years ago
For a*b =3. So.
1*3 =3.
And.
3*1 = 3.
(May be a=1 then b=2).
(May be b=1 then a=2).
Then how you are deviating to 1, 2 and 2, 1? Please tell me.
1*3 =3.
And.
3*1 = 3.
(May be a=1 then b=2).
(May be b=1 then a=2).
Then how you are deviating to 1, 2 and 2, 1? Please tell me.
Abitha said:
7 years ago
Here for ab=3, its possibilities are (1, 2) & (2, 1) Only right?
Please, anyone, help me.
Please, anyone, help me.
Vinay gudipati said:
7 years ago
Consider the equation be like x*y=4107.
Here x and why are the taken when product them we get 4107.
And also given that HCF of the two numbers is 37 so.
37*x*37*y=4107.
x*y= (4107/ (37*37) ) =3.
xy=3.
x*y=3*1.
x=3.
y=1.
Therefore 37*3=111.
37*1=37 so the answer is 111.
Here x and why are the taken when product them we get 4107.
And also given that HCF of the two numbers is 37 so.
37*x*37*y=4107.
x*y= (4107/ (37*37) ) =3.
xy=3.
x*y=3*1.
x=3.
y=1.
Therefore 37*3=111.
37*1=37 so the answer is 111.
(1)
Aparna said:
8 years ago
No need of these complications.
As per formula PRODUCT OF TWO NOS. = LCM * HCF.
hence, substitute from the question wherein,
4107=lcm * 37.
4107/37 = 111 =lcm.
As per formula PRODUCT OF TWO NOS. = LCM * HCF.
hence, substitute from the question wherein,
4107=lcm * 37.
4107/37 = 111 =lcm.
Arun said:
8 years ago
Thank you all.
ZUBAYRUL HASAN said:
8 years ago
As 37 is the HCF of these numbers. So, we can take the smaller number is 37 and greater is 37x.
A.C, 37*37x=4107,
or, x= 4107÷(37*37),
or, x =3,
Now, the greatest number is 37*3=111 (Ans).
A.C, 37*37x=4107,
or, x= 4107÷(37*37),
or, x =3,
Now, the greatest number is 37*3=111 (Ans).
Priya.E said:
8 years ago
Thnks @Pannu.
Asif said:
8 years ago
How we come to know that in this question we have to find LCM, in the question we have to find the greater number? please.
OM SHANKAR PRASAD said:
9 years ago
@Anirudh.
Because we can make pair of (10*125) , (50*25), (250*5), (2*625), (1*1250), so HCF is varying, so I think more data need.
Because we can make pair of (10*125) , (50*25), (250*5), (2*625), (1*1250), so HCF is varying, so I think more data need.
Anirudh said:
9 years ago
1250 is the product of x and y. What is the HCF of x and y?
Solve and explain the solution.
Solve and explain the solution.
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