Which is the greatest integer which on dividing 245 and 1245 will leave a remainder 4 and 5 respectively?
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To find the largest number which exactly divides 280 and 1245 living remainders 4 and 3 respectively, we subtract 4 and 3 from 280 and 1245. 280 - 4 = 276 1245 - 3 = 1242 276 = 2 x 2 x 3 x 23 1242 = 2 x 3 x 3 x 3 x 23 HCF = 2 x 3 x 23 = 138 Therefore, the largest number which exactly devides 280 and 1245 living remainders 4 and 3 respectively is 138.
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