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