Question

True or false HCF(c,d)=HCF(d,r) where the symbol HCF(c,d) denotes the HCF of c and d is equal to HCF of d and r

Answer 1

Answer:

value of k, 1+k, 5/6 +k, 13/18 +k are in g. P

Step-by-step explanation:

True

Answer 2

Answer: true

Step-by-step explanation: Let hcf(c,d) be `k'.

Then k devides c and d...

As c=dq+r, k additionally devides dq+r

now as k additionally devides d, hence k additionally devides r.

Now permit hcf(d,r) be 'n'

Then n devides d and r...

As r=c-dq, n additionally devides c-dq

Now as n additionally devides d, hence n also devides c

Assuming both above statements.

Both n and k devide c, d and r

r Now as there can only be one greatest value that devides all c, d and r

Hence n=k

i.e., hcf(c,d)=hcf(d,r)... Hence proved.. :)