Find the largest positive integer that will divide 434 and 539 leaving remainders 9 and 12 respectively.
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If you divide 434, remainder is 9
So 434 - 9 = 425 is completely divisible.
And ff you divide 539, remainder is 12
So 539 - 12 = 527 is completely divisible.
Find the HCF of 425 and 527.
425 = 5×5×17
527 = 17×31
HCF = 17
So the largest possible integer is 17.
So 434 - 9 = 425 is completely divisible.
And ff you divide 539, remainder is 12
So 539 - 12 = 527 is completely divisible.
Find the HCF of 425 and 527.
425 = 5×5×17
527 = 17×31
HCF = 17
So the largest possible integer is 17.
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