Question

Find the greatest 3-digit number which when divided by 75, 45 and 60 leaves
F1
and 18.
(ii) The remainder 4 in each case.
(1) No remainder in each case​

Answer 1

Step-by-step explanation:

900 is the greatest 3-digit number that is divisible by 75, 45, and 60

Answer 2

Answer:

900 is the greatest 3-digit number that is divisible by 75, 45, and 60.

Step-by-step explanation:

75=3×5

2

45=3

2

×5

60=2

2

×3×5

For the greatest 3 digit number which divides by 75,45 and 60 leaves no remainder,

The number must be a multiple of 2

2

×3

2

×5

2

=900

900 is the greatest 3− digit number that is divisible by 75,45, and 60

(ii)

Step 1 find L.C.M of given number

L.C.M of 75,45 and 60 is 900

step 2. find largest 3 digit number which is divisible by 900

largest 3 digit number which is divisible by 900 is itself 900

step 3 add the remainder to the number

900+4=904