Find the greatest number that divides 468 exactly but divides 728 to give a remander 7
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Step-by-step explanation:
445 - 4 = 441
572 - 5 = 567
699 - 6 = 693
441 = 3 x 3 x 7 x 7
572 = 3 x 3 x 3 x 3 x 7
693 = 3 x 3 x 7 x 11
The common factors are 7*3*3=63
Double-check:
445 / 63 = 7 remainder 4
572 / 63 = 9 remainder 5
699 / 63 = 11 remainder 6
Therefore 63 is the desired number.
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