Question

find the greatest no. which will divide 445,572,699 leaving remainders 4,5,6 respectively​

Answer 1

$\mathfrak{\huge{\red{\underline{\underline{AnswEr :}}}}}$

» Given :

The required number when divides 445, 572 and 699 leaves remainders 4, 5 and 6

» Solution :

⚘ 445 – 4 = 441

⚘ 572 – 5 = 561

⚘ 699 – 6 = 693

These Numbers are completely divisible by a Number.

∴ The Required Number = HCF of 441, 567 and 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

$\mathscr\pink{63\:is\:the\:largest \:divisor\:that\:will\:give}$

$\mathscr\pink{the\:desired\:remainder\:!!}</p><p>$

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$<marquee> Thanks ❤$

Answer 2

Step-by-step explanation:

Check the attachment :)