find the greatest number which divides 773 and 1313 leaving a remainder 8 in each case

Dear Student ,
Please find below the solution to the asked query :

As remainder is 8 .So, we will subtract 8 from both numbers and will find out the HCF of both numbers .773-8=7651313-8=1305765=3×3×5×171305=3×3×5×29HCF 765 , 1305 =3×3×5=4545 is the greatest number which divides 773 and 1313 leaving a remainder 8 .
 
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  • -1
hcf=1 as they both are co prime
HCF=1 THEN 1+8=9
so 9 is the greatest  no. which divides 773 and 1313 leaving a remainder 8 in each case.
  • -1
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