HCF of the numbers 17,23 and 29=
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Answer:
1 because they are prime numbers
Step-by-step explanation:
GCF = 1
for the values 17, 23, 29
Solution by Factorization:
The factors of 17 are: 1, 17
The factors of 23 are: 1, 23
The factors of 29 are: 1, 29
Then the greatest common factor is 1.
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Using prime factorisation method:
(i) 12, 15 and 21
Factor of 12=2×2×3
Factor of 15=3×5
Factor of 21=3×7
HCF (12,15,21)=3
LCM (12,15,21)=2×2×3×5×7=420
(ii) 17, 23 and 29
Factor of 17=1×17
Factor of 23=1×23
Factor of 29=1×29
HCF (17,23,29)=1
LCM (17,23,29)=1×17×23×29=11,339
(iii) 8, 9 and 25
Factor of 8=2×2×2×1
Factor of 9=3×3×1
Factor of 25=5×5×1
HCF (8,9,25)=1
LCM (8,9,25)=2×2×2×3×3×5×5=1,800
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