H.C.F OF ( x-a) , (y-b), (z-c)
( THIS IS TRUE FOR ANY NUMBER.)
- THE LEAST NUMBER WHICH WHEN DIVIDED BY x,y,z LEAVES THE REMAINDER a,b,c RESPECTIVELY IS GIVEN BY { L.C.M OF (x,y,z) } - k WHERE K= (x-a)= (y-b)= (z-c).
- THE LEAST NUMBER WHICH WHEN DIVIDED BY x,y,z AND LEAVES THE SAME REMAINDER K IN EACH CASE IS GIVEN BY { L.C.M. OF (x,y,z)+ k}.
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