What was found
AT APPROXIMATELY 12;000 FEET ON ARRIAL INTO APPROACH; WE NOTICED AN ENG FAIL ON THE #1 EGT INDICATOR. IT APPEARED MOMENTARILY AND THEN CLEARED. SECONDS LATER; THE SAME ENG FAIL ANNUCIATION OCCURED. #1 EGT INDICATION WAS ERRATIC. THRUST LEVER CHANGES MADE NO CHANGES ON THE #1 ENGINE N1 INDICATOR. NO OTHER ABNORMAL INDICATIONS WERE PRESENT. QRH WAS COMPLIED WITH; ATC NOTIFIED; EMERGENCY DECLARED. BRAKING NORMAL. BRAKE COOLING CHARTS COMPLIED WITH (#1 ENGINE ENGINE PER QRH WAS SHUT DOWN IN-FLIGHT) / REMOVED AND REPLACED HMU IAW MT 773-21-10 REF LOGPAGE 1959778 FOR EEC REMOVAL AND INSTALLATIONPOS 1 PN OFF/ON; 442653 SN OFF; BECWF356 SN ON; BECW2207