Question

find the greatest number that divides 12 and 9 exactly without leaving a remainder​

Answer 1

Answer:

Step-by-step explanation:

108 is the greatest number that divides 12 and 9 exactly without leaving a reminder.

12 × 9 = 108

9 × 12 = 108.

Answer 2

Answer:

$3$

Step-by-step explanation:

• As per the data given in the question, we need to find the greatest number which divides $12$ and $9$ exactly without leaving a remainder.

• To find the greatest number, we need to find the H.C.F of the given number.

• HCF of two or more numbers is the highest common factor of the given numbers. It is found by multiplying the common prime factors of the given numbers

• Prime factors of $12=2\times2\times3$

• Prime factors of $9=3\times3$

• Common factors of $12$ and $9$ $=3$

• The highest common factor that divides $12$ and $9$ is $3$

Hence, the greatest number that divides $12$ and $9$ exactly without leaving a remainder is $3$