A B747-400 FLT CREW ON APCH TO SFO EXPERIENCED LOSS OF #1 HYD SYS. LNDG WAS NORMAL AND THEY WERE TOWED TO THE GATE.

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WE WERE ON A VECTOR FOR RWY 28R IN SFO; DSNDING FROM 10000 FT ON A R DOWNWIND. I WAS THE PF. SHORTLY AFTER CALLING FOR FLAPS 1 DEG; WE GOT AN EICAS 'HYD LOW QUANTITY 1' MESSAGE. WE CONTINUED THE APCH WHILE EXTENDING FLAPS ON SCHEDULE. BY THE TIME WE WERE READY T TURN BASE ALL THE #1 HYD FLUID WAS GONE. I CALLED FOR GEAR DOWN EARLY; AND EXTENSION WAS NORMAL (MY CONCERN AT THE TIME WAS HAVING TO GO TO ALTERNATE EXTENSION). AT THIS POINT WE HAD A 'FLAPS PRIMARY' EICAS MESSAGE INDICATION; THAT THE TRAILING (INBOARD) FLAPS WERE OPERATING IN THE ALTERNATE; ELECTRIC MODE. IT MOVES SLOWER; SO WE WERE SLIGHTLY HIGH ON THE GS; BUT WERE ON SPD AND PROFILE WELL BEFORE THE STABILIZED APCH CRITERIA. THE RELIEF PLT DID A SUPERB JOB HANDLING IRREGULAR PROCS. THE CAPT WORKED WITH ME AND ATC; ADVISING THEM THAT WE WOULD NOT HAVE NOSEWHEEL STEERING AND WOULD HAVE TO STOP ON THE RWY. WE DID A FLAPS 25 DEG LNDG WITH AUTOBRAKES 3 SELECTED. THE LNDG WAS NORMAL AND THE RWY CLOSED. THE FIRE DEPT CAME OUT ON THEIR OWN INITIATIVE AND DECLARED THAT THE ACFT WAS IN GOOD SHAPE AND NO HYD FLUID WAS CONTAMINATING THE RWY. MAINT CAME OUT; SECURED ALL LNDG GEAR WITH PINS; AND WE WERE TOWED TO THE GATE. THE RELIEF PLT COORD WITH MAINT AND SENT OFF MAINT RPTS VIA ACARS. IN MANY WAYS; IT FELT LIKE A CHK RIDE. IT WENT FROM A LONG BUT ENJOYABLE FLT; TO A VERY BUSY LAST 3-4 MINS. THINKING BACK; I AM GRATEFUL FOR THE THOROUGH TRAINING WE RECEIVE; AND THIS WAS VIRTUALLY IDENTICAL TO THE TRAINING SCENARIO THAT WE HAVE USED IN THE PAST. I AM ALSO GRATEFUL FOR THE HIGH CALIBER OF COLLEAGUES THAT I HAVE. THE COCKPIT WORKLOAD WAS HIGH; BUT CALM AND SMOOTH.