Find the largest number that will divide 699, 572 and 445 leaving remainder 6, 5, 4 respectively.
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Step-by-step explanation:
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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.
63
445
=7 with remainder as 4.
63
572
=9 with remainder as 5.
63
699
=11 with remainder as 6.
Therefore, 63 is the greatest number.
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