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Byju's Answer
Standard X
Mathematics
Method of Finding HCF
Find the grea...
Question
Find the greatest number that will divide 445, 572 and 699 leaving remainder 4,5,6 effectively
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Solution
Solution-> 445 - 4 = 441
572 - 5 = 567
699 - 6 = 693
Now find the greatest common factor of those 3 numbers:
441 = 3 x 3 x 7 x 7
572 = 3 x 3 x 3 x 3 x 7
693 = 3 x 3 x 7 x 11
The common factors are 3 x 3 x 7 = 63
HCF Of (441,567,693) = 63
445 / 63 = 7 remainder 4
572 / 63 = 9 remainder 5
699 / 63 = 11 remainder 6
Answer:
63 is the largest divisor that will give the desired remainders.
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Q.
Find the greatest number that will divide 445, 572 and 699, leaving remainders 4, 5, 6 respectively.