Problems on HCF and LCM

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poornima lagadapati

Active member
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A.4
B.7
C.9
D.13

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A.276
B.299
C.322
D.345

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A.4
B.10
C.15
D.16
 
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

A.4
B.5
C.6
D.8
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A.9000
B.9400
C.9600
D.9800


The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

A.101
B.107
C.111
D.185
 
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

A.40
B.80
C.120
D.200

The G.C.D. of 1.08, 0.36 and 0.9 is:

A.0.03
B.0.9
C.0.18

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

A.1
B.2
C.3
D.4
 
poornima lagadapati said:
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A.4
B.7
C.9
D.13

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A.276
B.299
C.322
D.345

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

A.4
B.10
C.15
D.16
Click to expand...
1. A 2. C
 
poornima lagadapati said:
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

A.4
B.5
C.6
D.8
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A.9000
B.9400
C.9600
D.9800


The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

A.101
B.107
C.111
D.185
Click to expand...
1. A 2. C
 
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A. 1677
B. 1683
C. 2523
D. 3363
Option b
 
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

A. 26 minutes and 18 seconds
B. 42 minutes and 36 seconds
C. 45 minutes
D. 46 minutes and 12 seconds
Option d
 
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