Question : What is the greatest positive integer that divides 554, 714, and 213 leaving the remainder 43, 57, and 67 respectively?
Option 1: 95
Option 2: 71
Option 3: 83
Option 4: 73
Answer (1)
14th Jan, 2024
Correct Answer: 73
Solution :
Deducting the remainder:
554 – 43 = 511
714 – 57 = 657
213 – 67 = 146
Now, Factors of 511 = 73 × 7
Factors of 657 = 73 × 3 × 3
Factors of 146 = 73 × 2
HCF of 551, 657, and 146 = 73
Hence, the correct answer is 73.
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