### Quantitative Aptitude - H.C.F and L.C.M of Numbers

#### Question - 1

252 can be expressed as a product of primes as:

• A $2 \times 2\times3\times3\times7$
• B $2\times2\times2\times3\times7$
• C $3\times3\times3\times3\times7$
• D $2\times3\times3\times3\times7$

#### Question - 2

Which of the following has most number of divisors?

• A 99
• B 101
• C 176
• D 182

#### Question - 3

A number $\pi$is said to be perfect if the sum of all its divisors (excluding n itself) is equal to n .An example of perfect number is:

• A 6
• B 9
• C 15
• D 21

#### Question - 4

$1095\over1168$ when expressed in simplest form is:

• A $13\over16$
• B $15\over16$
• C $17\over26$
• D $25\over26$

#### Question - 5

Reduce $128352\over238368$ to its lowest terms.

• A $3\over4$
• B $5\over13$
• C $7\over13$
• D $9\over13$

#### Question - 6

The H.C.F of $2^{2}\times3^{3}\times5^{2}$,$2^{3}\times3^{2}\times5^{2}\times7$ and $2^{4}\times3^{4}\times5\times7^{2}\times11$ is :

• A $2^{2}\times3^{2}\times5$
• B $2^{2}\times3^{2}\times5\times7\times11$
• C $2^{4}\times3^{4}\times5^{5}$
• D $2^{4}\times3^{4}\times5^{5}\times7\times11$

#### Question - 7

The H.C.F of $2^{4}\times3^{2}\times5^{3}\times7$,$2^{3}\times3^{3}\times5^{2}\times7^{2}$ and $3\times5\times7\times11$ is :

• A 105
• B 1155
• C 2310
• D 27720

#### Question - 8

H.C.F of $4\times27\times3125$,$8\times9\times25\times7$ & $16\times81\times5\times11\times49$ is :

• A 180
• B 360
• C 540
• D 1260

#### Question - 9

Find the highest common factor of 36 and 84 .

• A 4
• B 6
• C 12
• D 18

#### Question - 10

The H.C.F of 204,1190 and 1445 is :

• A 17
• B 18
• C 19
• D 21