Question

3. Find the HCF of the following using long division method
(a) 20. 60 and 108
(b) 98, 28 and 56​

Answer 1

Finding HCF by Division Method:

i) Finding HCF of 20 , 60.

20| 60 |3

*****60

_______

****(0)

Now, HCF(20,60) = 20

ii) Finding HCF of 20 and 108.

20| 108 |5

**** 100

___________

****** 8| 20|2

********* 16

_____________

*********** 4| 8 | 2

************** 8

_____________

***************(0)

HCF of ( 20, 108) = 4

$\therefore\green { HCF \:of \: (20,60,108) = 4}$

Finding HCF by Division Method:

b) Finding HCF of 98 , 28.

28| 98 | 3

**** 84

____________

****** 14| 28 | 2

********** 28

____________

************( 0 )

HCF of (98,28) = 14

Finding HCF of 14 and 56

14 | 56 | 4

**** 56

________

*****(0)

HCF of ( 14, 56 ) = 14

$\therefore\green { HCF \:of \: (28,98,56) = 14}$

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