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:
101
107
111
185
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 1 of 8.

Rakesh said:   1 decade ago
How you got ab=3?
(1)

Pannu said:   1 decade ago
37a*37b=4107
1369ab=4107
ab=4107/1369
ab=3
(1)

Raj said:   1 decade ago
Simple method:
LCM=product of co primes/HCF
=>4107/37=111
(1)

Jaz said:   1 decade ago
Thanks raj.
(1)

Sanjivani said:   1 decade ago
Co prime means not get co-prime (1, 3).
(1)

PVNARASIMHARAO said:   1 decade ago
L.C.M * H.C.F=FIRSTNUMEBR * SECONDNUMBER
IF THEY ARE COPRIMES

Mehar said:   1 decade ago
Easy way to get ans:divide the product with H.C.F

-->4107/37=111;

Jyoti said:   1 decade ago
Simply divide the product with H.C.F
i.e 4107/37=111

Anand said:   1 decade ago
Simply multiply the value 37*111=4107

Rahul said:   1 decade ago
Thanks Pannu.


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