Find the largest number which when divides 65 & 83 leaves remainders 5&8 respectively
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When 65 and 83 are divided by a number they need to leave reminders of 5 and 8 respectively.
Subtracting 5 and 8 from 65 and 83, we get
65 - 5 = 60
83 - 8 = 75
60 and 75 come in only one table, 15, for 15 x 4 = 60 and 15 x 5 = 75.
Hence, the largest number that divides 65 and 83, leaving reminders of 5 and 8 is 15.
Subtracting 5 and 8 from 65 and 83, we get
65 - 5 = 60
83 - 8 = 75
60 and 75 come in only one table, 15, for 15 x 4 = 60 and 15 x 5 = 75.
Hence, the largest number that divides 65 and 83, leaving reminders of 5 and 8 is 15.
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