a)Find the H.C.F. of the smallest composite number and the smallest prime number.
b) . If a = 4q + r then what are the conditions for a and q. What are the values that r can take?
smallest prime number is 2 and smallest composite number is 4.
since 4 = 2*2
HCF of 2 and 4 is 2.
therefore the HCF of smallest prime number and smallest composite number is 2.
if a = 4q+ r.
r can take the values either of 0,1,2,3
and the number a is of the form 4q , or 4q+1, or 4q+2 or 4q+3.
hope this helps you.