Which is the largest number that divides 523 and 67 leaving remainder 7 and 1 respectively?

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Ans: 6 523-7=516 67-1=66 Take GCD for 516,66 you will get 6.
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523-7 and 67-1 are divisible by that number. 516, 66 are divisible by a single number. Calculate HCF of 516 and 66. 6 is HCF so thats tge largest number.
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