Question

What is the greatest number that divides both 50 and 110 leaving remainder of 2?

Answer 1

Using EDL,
110=50*22+10
50=10*5+0
Therefore ,r=0 HCF(110,50)=10

Answer 2

IF WE DIVIDE 50 FROM THAT NUMBER LEAVING REMAINDER 2 MEANS
50 - 2 = 48
SO 48 IS COMPLETELY DIVIDED BY THAT NUMBER


IF WE DIVIDE 110 FROM THAT NUMBER LEAVING REMAINDER 2 MEANS
110 - 2 = 108
SO 108 IS COMPLETELY DIVIDED BY THAT NUMBER


SO THE HCF OF 48 AND 108 IS. 12


12 IS THE GREATEST NUMBER WHICH DIVIDES 50 AND 110 AND LEAVING REMAINDER OF 2