1. Find the HCF of each of the following by short division method.
a) 35, 91
b) 24, 40, 32
c) 15,90, 105
2)Find the LCM of each of the following by short division method.
a) 42,56
b) 28,42,63
c) 20,25,40
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Answer:
Q-1
The factors of 91 are 91, 13, 7, 1. The common factors of 35 and 91 are 7, 1, intersecting the two sets above. In the intersection factors of 35 ∩ factors of 91 the greatest element is 7. Therefore, the greatest common factor of 35 and 91 is 7.
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