what is the HCF of 8k+1 and 9k ? where k ∈ Z^+


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Question Number 193045 by Trent1111 last updated on 02/Jun/23

$w h a t i s t h e H C F o f$ $8 k + 1 a n d 9 k ? w h e r e k \in Z^{+}$
	Answered by MM42 last updated on 02/Jun/23

	$(8 k + 1, 9 k) = d$ $d ∣ 8 k + 1 \Rightarrow d ∣ 72 k + 9$ $d ∣ 9 k \Rightarrow d ∣ 72 k$ $\Rightarrow d ∣ 9 \Rightarrow d = 1 \lor 3 \lor 9$
	Commented by Trent1111 last updated on 02/Jun/23

	$t h a n k s s i r s o m u c h$ $c a n y o u r e c o m m e n d m e w h a t c o n c e p t t o s t u d y$
	Commented by MM42 last updated on 02/Jun/23

	$w h a t a g e g r o u p a r e y o u ?$
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