find the hcf of 5075150
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Solution 1:
(i) F_{16}=1,\ 2,\ 4,\ 8,\ 16F
16
=1, 2, 4, 8, 16
F_{35}=1,\ 5,\ 7,\ 35F
35
=1, 5, 7, 35
Common factors between 16 and 35 = 1
HCF of 16 and 35 = 1
(ii) F_{25}=1,\ 5,\ 25F
25
=1, 5, 25
F_{20}=1,\ 2,\ 4,\ 5,\ 10,\ 20F
20
=1, 2, 4, 5, 10, 20
Common factors between 25 and 20 = 1, 5
HCF of 25 and 20 = 5
(iii) F_{27}=\ 1,\ 3,\ 9,\ 27F
27
= 1, 3, 9, 27
F_{75}=\ 1,\ 3,\ 5,\ 15,\ 25,\ 75F
75
= 1, 3, 5, 15, 25, 75
Common factors between 27 and 75 = 1, 3
HCF of 27 and 75 = 3
(iv) F_8=1,\ 2,\ 4,\ 8F
8
=1, 2, 4, 8
F_{12}=\ 1,\ 2,\ 3,\ 4,\ 6,\ 12F
12
= 1, 2, 3, 4, 6, 12
F_{18}=\ 1,\ 2,\ 3,\ 6,\ 9,\ 18F
18
= 1, 2, 3, 6, 9, 18
Common factors between 8, 12 and 18 = 1,2
HCF of 8, 12 and 18 = 2
(v) F_{24}=1,\ 2,\ 3,\ 4,\ 6,\ 8,\ 12,\ 24F
24
=1, 2, 3, 4, 6, 8, 12, 24
F_{36}=1,\ 2,\ 3,\ 4,\ 6,\ 9,\ 12,\ 18,\ 36F
36
=1, 2, 3, 4, 6, 9, 12, 18, 36
F_{45}=\ 1,\ 3,\ 5,\ 9,\ 15,\ 45F
45
= 1, 3, 5, 9, 15, 45
F_{60}=\ 1,\ 3,\ 4,\ 5,\ 6,\ 10,\ 12,\ 15,\ 20,\ 30,\ 60F
60
= 1, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common factors between 24, 36, 45 and 60 = 1, 3
HCF of 24, 36, 45 and 60 = 3
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Answer By shreyas
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