Question

Find the greatest number that will divide 33 and 45, leaving 3 as a reminder in each case.

Answer 1

Solution :-

→ 33 - 3 = 30

→ 45 - 3 = 42

Now,

† HCF OF 30 AND 42 †

30 = 2 × 3 ×5

42 = 2 × 7 × 3

→ H.C.F = 3 × 3 = 6

$\sf$

Hence,

the greatest number that will divide 33 and 45, leaving 3 as a reminder in each case = 6

Answer 2

Answer:

The greatest number that will divide 33 and 45, leaving 3 as a reminder in each case is 6

Step-by-step explanation:

Remainder left in each case is 3

∴ Subtract 3 from each case

So,

33 - 3 = 30

45 - 3 = 42

Now,

For finding the greatest number that will divide 33 and 45, leaving 3 as a reminder in each case.:

We will have to take the HCF of 30 and 42.

           30  )  42  ( 1

                   - 30

                  ______

                      12  )  30  ( 2

                             - 24

                           _______

                                 6  )  12  ( 2

                                         12

                                     ________

                                           0

                                      _______

∴ The HCF is 6

The answer is 6 ..

hope it helps..