Determinate-the-couples-a-b-such-that-GCD-a-b-LCM-a-b-a-b-GCD-greatest-common-divisor-LCM-least-common-multiple-

Question Number 122646 by mathocean1 last updated on 18/Nov/20

D e t e r m i n a t e t h e c o u p l e s

(a; b) s u c h t h a t

G C D (a; b) + L C M (a; b) = a + b

G C D : g r e a t e s t c o m m o n d i v i s o r

L C M : l e a s t c o m m o n m u l t i p l e

Commented by mathocean1 last updated on 18/Nov/20

s o w e h a v e m c o u p l e s s i r ?

Commented by mr W last updated on 18/Nov/20

a = p_{1} p_{2} \dots p_{m} w i t h p = a n y p r i m e n u m b e r

b = p_{1}^{n_{1}} p_{2}^{n_{2}} \dots p_{m}^{n_{m}}

g c d (a, b) = a

l c m (a, b) = b

Commented by mr W last updated on 18/Nov/20

i n f i n i t e c o u p l e s!

Commented by mathocean1 last updated on 18/Nov/20

o k s i r