Write the greatest number that will divide 76, 113 and 186 leaving remainder 4, 5, 6 respectively
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Given Question:
Find the greatest number that will divide 445,572and699 leaving remainders 4,56 respectively.
Answer:
445−4=441
572−5=567
699−6=693
⇒ Now, we have to find common factors of 441,567 and 693
441=3×3×7×7
572=3×3×3×3×7
693=3×3×7×11
⇒ The common factors =3×3×7=63
⇒ Here, we can see after dividing 445,572,699 by 63 we get remainder 4,5,6.
∴ The greatest number that will divide 445,572 and 699 leaving remainders 4,5,6 is 63
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