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Byju's Answer
Standard X
Mathematics
The Fundamental Theorem of Arithmetic
Using prime f...
Question
Using prime factorization, find the HCF and LCM of:
17
,
23
,
29
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Solution
17
=
17
1
=
17
1
×
23
0
×
29
0
23
=
23
1
=
17
0
×
23
1
×
29
0
29
=
29
1
=
17
0
×
23
0
×
29
1
From the above
H
C
F
=
17
0
×
23
0
×
29
0
=
1
L
C
M
=
17
1
×
23
1
×
29
1
=
11
,
339
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5
Similar questions
Q.
Using prime factorization, find the HCF and LCM of
(i) 8, 9, 25
(ii) 12, 15, 21
(iii) 17, 23, 29
(iv) 24, 36, 40
(v) 30, 72, 432
(vi) 21, 28, 36, 45
Q.
Using prime factorization, find the HCF and LCM of
36
,
84
.
Also verify that:
HCF
×
L
C
M
=
product of given numbers.
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