How many numbers divide 2304 and 3888 leaving the same remainder
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30 Numbers Divide 2304 and 3888 leaving the same remainder
Step-by-step explanation:
Lets Say N is the largest number divide 2304 & 3888 leaving same remainder
2304 = AN + r
3888 = BN + r
=> 1584 = (B - A)N
N = 1584 is largest number Which leaves same remainder when divide 2304 and 3888
1584 = 2 * 2 * 2 * 2 * 3 * 3 * 11
= 2⁴ * 3² * 11¹
(4 + 1)(2 + 1)(1 + 1)
= 5 * 3 * 2 = 30
30 Numbers Divide 2304 and 3888 leaving the same remainder
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