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वह बड़ी से बड़ी संख्या ज्ञात क्या होगी, जिससे 590, 908 तथा 1014 को भाग देपर प्रत्येक दशा में समान शेष बचे। |
Answer» Given:590, 908 and 1014 leaves the same remainder each time when DIVIDED by the GREATEST number To find:The greatest number Solution:(1). FINDING the difference between the given numbers: 1014 - 908 = 106 908 - 590 = 318 1014 - 590 = 424 (2). Finding the H.C.F. of the numbers received after subtraction: Factors: 106 = 2 × 53 318 = 2 × 3 × 53 424 = 2 × 2 × 2 × 53 H.C.F.: H.C.F. of 106, 318 & 424 = 2 × 53 = 106 Thus, the greatest number which when divides 590, 908 and 1014 leaves the same remainder each time is → 106. ---------------------------------------------------------------------------------- Also view the related links:What largest number will divide 47, 35 and 27 leaving the same remainder in each case? What will be the COMMON remainder? What is the greatest number that will divide 99, 123 and 183 leaving the same remainder in each case? What is the largest number which divides 150, 180 and 144 leaving the same remainder in each case? What is the greatest number that will divide 99, 123 and 183 leaving the same remainder in each case? |
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