Question

find the HCF of 36 and 84​

Answer 1

Answer:

Step-by-step explanation:

By using euclids division lemma ,

a=bq+r

84 =36×2+12

36=12×3+0

Therefore, HCF of 36 and 84 is 12

Hope ....its helpful

Answer 2

Answer:

12

Step-by-step explanation:

First, factorize 36 and 84

i) 36 = 6 x 6

       = 2 x 3 x 2 x 3

       = 2 x 2 x 3 x 3  

ii) 84 = 6 x 14

        = 2 x 3 x 2 x 7

        = 2 x 2 x 3 x 7

Now, see if there are any common no.s in i) & ii). Each no. can only have one more same no. in its pair. If two pairs can be formed from on no. then we take that no. two times when calculating HCF.

Therefore,

Numbers that have a pair are - 2,2,2

So, H.C.F of 36, 84 = 2 x 2 x 3 = 4 x 3= 12