H.C.F. & L.C.M. of Numbers Worksheet-5

H.C.F. & L.C.M. of Numbers Worksheet-5

1. The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case, is :

(a) 64                  (b) 124                (c) 156                (d) 260

2. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is :

(a) 123                (b) 127                (c) 235                (d) 305

3. Which of the following fractions is the largest?

(a)                   (b)                  (c)                 (d)

4. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

(a) 196                (b) 630               (c) 1260             (d) 2520

5. The smallest fraction, which each of will divide exactly, is:

(a)                 (b)                 (c)                (d)

6. The least number of five digits which is exactly divisible by 12, 15 and 18, is:

(a) 10010           (b) 10015           (c) 10020           (d) 10080

7. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is :

(a) 9000            (b) 9400            (c) 9600             (d) 9800

8. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is :

(a) 3                    (b) 13                  (c) 23                  (d) 33

9. The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is:

(a) 1600             (b) 3600            (c) 6400             (d) 14400

10. The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is

(a) 1008             (b) 1015              (c) 1022             (d) 1032

Answer Key:

(1)-a; (2)-b; (3)-a; (4)-b; (5)-a; (6)-d; (7)-c; (8)-c; (9)-b; (10)-b