Find the greatest number that will divide 445, 572 and 699, leaving remainders 4,5 and 6
respectively.
Answers
Answered by
1
Answer:
63
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Answered by
23
445−4=441
572−5=567
699−6=693
The greatest common factors of 441, 567 and 693 is,
441=3×3×7×7
567=3×3×3×3×7
693=3×3×7×11
The common factors are 3×3×7=63.
445/63=7 with remainder as 4.
572/63 =9 with remainder as 5.
699/63=11 with remainder as 6.
Therefore, 63 is the greatest number.
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