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Greatest, Least No, Same Remainder, Different Remainder

Raj Kumar
06/08/2018 0 0

1) Greatest number which divides number x, y and z leaves the remainder a, b, c respectively

then greatest no will be H.C.F (x-a,y-b,z-c)

 

2) Greastet  no which divides number x, y and z leaves the same 

then greatest no will be H.C.F of |x-a|,|y-b|,|z-c|

 

3) least number  which divides number x, y and z leaves the remainder a, b, c respectively

then Least number will be L.c.m of (x,y,z)-k where k=x-a=y-b=z-c

 

4) least number which divides number x,y and z leaves the same remainder respectively

then Least number will be L.c.m of (x,y,z)+k  

 

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