Find the largest number which divides 1205 and 245 and leaves the remainder 5 in each case
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Answer 240
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Step-by-step explanation:
given numbers are 1205 and 245
so as we need reminder to be 5 let us find the factors of those number that we get by eliminating 5 that is 1025-5=1200, 245-5=240
factors of 1200 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
factors of 240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
the highest common factor for this two is 240
so largest number which divides 1205 and 245 and leaves the remainder 5 in each case is 240
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