Question

find greatest number that will divide 445,52 and 699 to leave the remainder 4,5and 6 respectively.class-x

Answer 1

Your question might be as follows:-

#Find greatest number that will divide 445,572 and 699 to leave the remainder 4,5 and 6 respectively.

{572 instead of 52}
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#answer

445 leaves remainder 4
572 leaves remainder 5
699 leaves remainder 6

=>445 - 4 = 441
=>572 - 5 = 567
=>699 - 6 = 693

greatest number that will divide 445,572 and 699 to leave the remainder 4,5 and 6 respectively = HCF of 441,567,693

441 = 3 × 3 × 7 × 7
572 = 3 × 3 × 3 × 3 × 7
693 = 3 × 3 × 7 × 11

HCF = 3 × 3 × 7 = 63

Therefore, 63 is the greatest number that will divide 445,572 and 699 to leave the remainder 4,5 and 6 respectively.

Hope it helps