find the greatest number that will divide 445,572 and 699 leaving remainder 4, 5 and 6 respectively
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Let's take the 1st no. 445
445–4=441
2nd no. 572
572–5=567
3rd no. 699
699–6=693
Now let's take the Factor of the the numbers 441,567 and 693 i.e,
441=3×3×7×7
567=3×3×3×3×7
693=3×3×7×11
Thus the HCF is 63
445÷63=(Q)7 (R)4
572÷63=(Q) 9 (R)5
699÷63=(Q) 11 (R)6
Hence the greatest number which divides the following numbers leaving the remainder 4,5 and 6 is 63
445–4=441
2nd no. 572
572–5=567
3rd no. 699
699–6=693
Now let's take the Factor of the the numbers 441,567 and 693 i.e,
441=3×3×7×7
567=3×3×3×3×7
693=3×3×7×11
Thus the HCF is 63
445÷63=(Q)7 (R)4
572÷63=(Q) 9 (R)5
699÷63=(Q) 11 (R)6
Hence the greatest number which divides the following numbers leaving the remainder 4,5 and 6 is 63
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