find the greatest number which when devides 8553 and 77 leaves the same remainder 1 in each case
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Let us say that the number 'd' divides 62, 132, and 237 to leave the remainder 'r'
=> 62 - r, 132 - r, and 237 - r are divisible by 'd'
=> (132 - r) - (62 - r) and (237 - r) - (132 - r) are divisible by 'd'
=> 70 and 105 are divisible by 'd'
=> Highest Common Factor of 70 and 105 = d = 35
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