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:
77 comments Page 5 of 8.
Sharad said:
6 years ago
When we find the LCM as 111, why does it mean that one of the number is 111 and the other is 37. They are just factors and multiples. Please anyone explain.
111 said:
1 decade ago
Thanks anand
Roy said:
1 decade ago
What is co-prime nos?
Sushma said:
1 decade ago
Its simple let a * b = 4107 now 37 is common in both a and b so 37*some number(x)=4107 so solve this 37*x=4107 so 4107/37 =111.
Sugandh said:
1 decade ago
Let we have two numbers 2 and 6...
now product of these two numbers=12
hcf(2 and 6)=2
lcm=6
now we hav 2 find d greater numbr that is 6..how it comes..it is simply d lcm...
it means we hav to find out the lcm....so somply divide the product f two numbers by their hcf to get the lcm;,,,,
12/2=6 =greatest number
now product of these two numbers=12
hcf(2 and 6)=2
lcm=6
now we hav 2 find d greater numbr that is 6..how it comes..it is simply d lcm...
it means we hav to find out the lcm....so somply divide the product f two numbers by their hcf to get the lcm;,,,,
12/2=6 =greatest number
Vinay said:
1 decade ago
It is not essential that LCM will always be greater number
@ ravi
your explanation are good
@ ravi
your explanation are good
Hhmnmb said:
1 decade ago
Thanks Anand
Ravi said:
1 decade ago
@ vani
Its false statement that LCM is the the greater no.
We know as a*b = lcm*hcf
Here 4107 = lcm*37
lcm = 111 or (3*37)
so a*b = 37*3*37
or a*b = (37*3)*37
or a*b = 37*(3*37)
So greater no. is 3*37=111
Its false statement that LCM is the the greater no.
We know as a*b = lcm*hcf
Here 4107 = lcm*37
lcm = 111 or (3*37)
so a*b = 37*3*37
or a*b = (37*3)*37
or a*b = 37*(3*37)
So greater no. is 3*37=111
Vani said:
1 decade ago
Can LCM always be the greatest no.?
Muthusamy said:
1 decade ago
Thanks raju and thulasi.
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