work sheet answers please
Answers
Solution :-
(i) 32 and 54
Ans. According to Euclid's division algorithm,
=> 54 = 32 x 1 + 10
=> 32 = 10 x 3 + 2
=> 10 = 2 x 5 + 0
Therefore, the HCF of 32 and 54 is 2.
(ii) 18 and 24
Ans. According to Euclid's division algorithm,
=> 24 = 18 x 1 + 6
=> 18 = 6 x 3 + 0
Therefore, the HCF of 18 and 24 is 6.
(iii) 70 and 30
Ans. According to Euclid's division algorithm,
=> 70 = 30 x 2 + 10
=> 30 = 10 x 3 + 0
Therefore, the HCF of 70 and 30 is 10.
(iv)56 and 88
Ans. According to Euclid's division algorithm,
=> 88 = 56 x 1 + 32
=> 56 = 32 x 1 + 24
=> 32 = 24 x 1 + 8
=> 24 = 8 x 3 + 0
Therefore, the HCF of 56 and 88 is 8.
(v) 475 and 495
Ans. According to Euclid's division algorithm,
=> 495 = 475 x 1 + 20
=> 475 = 20 x 23 + 15
=> 20 = 15 x 1 + 5
=> 15 = 5 x 3 + 0
Therefore, the HCF of 475 and 495 is 5.
(vi) 75 and 243
Ans. According to Euclid's division algorithm,
=> 243 = 75 x 3 + 18
=> 75 = 18 x 4 + 3
=> 18 = 3 x 6 + 0
Therefore, the HCF of 75 and 243 is 3.
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