Question

As per assumptions in Euclid Division Algorithm,

HCF of a and b = HCF of b and c

= HCF of c and d = HCF of d and e

The HCF of d and e is equal to e, from (4) above.

So, HCF of a and b = e.

OBSERVATION

On actual measurement (in mm)

a =......... , b = ......... , c = ......... , d = ......... , e = .........

So, HCF of __________ and __________ = ......................

APPLICATION

The process depicted can be used for finding the HCF of two or more numbers,

which is known as finding HCF of numbers by Division Method.​

Answer 1

Given : HCF of a and b = HCF of b and c = HCF of c and d = HCF of d and e

so HCF of a and b = e

To Find :  Example and verification

a =. , b = . . , c =   , d = . .. , e =  .

Solution:

a =6 , b = 8 . , c = 10  , d = 12.. , e = 2

HCF of a and b   = HCF of 6 and 8  = 2

HCF of b and c   = HCF of 8 and 10  = 2

HCF of c and d   = HCF of 10 and 12  = 2

HCF of d and e   = HCF of 12 and 2 = 2

HCF of a and b   =  HCF of d and e  = 2 = e

Learn More:

Find LCM and HCF of the following pairs of integers and verify that ...

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Can 12 and 98 be HCF and LCM of two numbers​ - Brainly.in

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Answer 2

Answer:

as per assuption in Euclid's division algorithm,

HCF of a and b =HCF of B and C

=HCF of C and D

=HCF of D and E

the HCF of D and E is equal to so HCF of a and B=e

a=11,b=8 ,c=3,d=2 ,e=1

so HCF of 11 and 8 = 1