find the greatest number that will divide 445'572'699 leaving remainder 4'5and6 respectively
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445,572,699
445-4=441
572-5=567
699-6=693
According to the question 445,572,699 leave remainders 4,5,6 when divided by a common factor.
This also means that the numbers 441,567,693 have a common factor.
441=3×3×7×7
567=3×3×3×3×7
693=3×3×7×11
Therefore HCF(441,567,693) = 3^2×7=63
Answer: 63
Hope its useful
445-4=441
572-5=567
699-6=693
According to the question 445,572,699 leave remainders 4,5,6 when divided by a common factor.
This also means that the numbers 441,567,693 have a common factor.
441=3×3×7×7
567=3×3×3×3×7
693=3×3×7×11
Therefore HCF(441,567,693) = 3^2×7=63
Answer: 63
Hope its useful
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