Find the greatest number that will divide 115, 149 and 183 leaving remainders 3, 5, 7 respectively.
Correct Answer:
D. 16
Explanation:
To find the greatest number that divides 115, 149, and 183 with remainders of 3, 5, and 7 respectively, first subtract the remainders from the numbers: 115 - 3 = 112, 149 - 5 = 144, and 183 - 7 = 176. The required number is the Highest Common Factor (HCF) of 112, 144, and 176. Calculating the HCF: 112 = 16 x 7, 144 = 16 x 9, and 176 = 16 x 11. Since 16 is the largest common divisor for all three values, the correct answer is 16.
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