Question

Find the HCF of 24 and 33 by using division algorithm​

Answer 1

Answer: Their H.C.F is 3.

Step-by-step explanation: In division algorithm, we find the H.C.F. of two numbers by dividing the larger by the smaller, the smaller by the remainder, the first remainder by the second remainder, and so on until exact division is obtained( when the remainder is zero), Which is the H.C.F. of these two numbers.

Here, the given numbers,

24 and 33,

When we apply the division algorithmic, ( shown below )

We found that the exact divisor is 3,

Hence, the H.C.F.( 24, 33 ) = 3

Answer 2

Answer:

3

Step-by-step explanation:

Solution : HCF of 24 and 33 are as follows,

Step 1 : 33 = 24 × 1 + 9

Here 24 will become dividend and 9 as divisor in next step.

Step 2 : 24 = 9 × 2 + 6

Step 3 : 9 = 6 × 1 + 3

Step 4 : 6 = 3 × 2 + 0

Finally we obtained r = 0 when divisor is 3 with 6 as dividend and 2 quotient.

The last divisor with which r becomes 0 is said to be H.C.F. Hence 3 ia largest common factor for 24 and 33.

Answer : 3