Question

18.
(e) None of these
The largest number that divides 588, 1999 and 1650 leaving 3, 10 and 12 respectively is
(a) 117
(b) 109
(c) 27
(d) 43
(e) None of these
​

Answer 1

Answer:

a) 117 is the correct answer.

Step-by-step explanation:

the required numbers are, 585, 1989 and 1638.

the using Euclid's division lemma in 1989 and 1638

1989= 1638* 1+351

1638= 351* 2+ 234

351= 234*1+ 117

234= 117*2+0

now, using Euclid's division lemma in 585 and 117

585= 117*3+0

hence, the largest number that divides is 117.

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