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. 16)
16.
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Answer: Option
Explanation:
| Other number = |  |
11 x 7700 |  |
= 308. |
| 275 |
Discussion:
21 comments Page 1 of 3.
Trinath said:
1 decade ago
Let 2 no's with H.C.F 11 are 11x and 11y.
One of the numbers is 275.
L.C.M of 275 and 11y is 275y.
Given L.C.M = 7700.
275y = 7700 => y = 28.
Therefore another number=11*y = 11*28 =308.
One of the numbers is 275.
L.C.M of 275 and 11y is 275y.
Given L.C.M = 7700.
275y = 7700 => y = 28.
Therefore another number=11*y = 11*28 =308.
Chaitanya said:
5 years ago
Their is a formula i.e,
a*b=HCF*LCM.
here they have given one number i.e275 so u can take a=275 or b=275.
Hence substitute in the above formula,
a*275=11*7700,
a=11*7700/275,
a=308.
a*b=HCF*LCM.
here they have given one number i.e275 so u can take a=275 or b=275.
Hence substitute in the above formula,
a*275=11*7700,
a=11*7700/275,
a=308.
(3)
Maddy said:
8 years ago
The numbers are 11x, 11y.
LCM of two numbers x * 11* y
Therefore x * 11 * y = 7700.
11x = 275,
ie., 275 * y = 7700,
y = 28,
The other number is 11*y => 11*28 => 308.
LCM of two numbers x * 11* y
Therefore x * 11 * y = 7700.
11x = 275,
ie., 275 * y = 7700,
y = 28,
The other number is 11*y => 11*28 => 308.
(2)
Kush said:
1 decade ago
This type of problem can be solved by a formula:
LCM X HCF = First No. X Second No.
Here
LCM=7700
HCF=11
First No.=275
7700 X 11 = 275 X Second No.
Second No.= 308
LCM X HCF = First No. X Second No.
Here
LCM=7700
HCF=11
First No.=275
7700 X 11 = 275 X Second No.
Second No.= 308
Sushank said:
1 decade ago
Other number = H.C.F.* L.C.M/Given No.
= 11*7700/275
= 84700/275
= 308
Hence, the other number is 308.
= 11*7700/275
= 84700/275
= 308
Hence, the other number is 308.
Raju said:
1 decade ago
IF only HCF & LCM is given then how to find numbers.
eg: If 24 & 720 is HCF & LCM of TWO numbers respectively,find the numbers
eg: If 24 & 720 is HCF & LCM of TWO numbers respectively,find the numbers
(1)
Prini said:
1 decade ago
It is based on formula,
Product of two nos = product of their HCF and LCM.
Refer important formula (4).
Product of two nos = product of their HCF and LCM.
Refer important formula (4).
Praveen said:
1 decade ago
It can also be solve like this. By considering options only option C is dividing by 11.
Raviteja said:
9 years ago
LCM means 275 * __ = 7700.
So 308 or 318.
HCF means it should divide by 11 so 308.
So 308 or 318.
HCF means it should divide by 11 so 308.
Manshi said:
4 years ago
There is a formula for this,
HCF * LCM = first no * second no.
HCF * LCM = first no * second no.
(7)
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