Lời giải:

Gọi 2 số đó là $a,b$
Vì ƯCLN của $a,b$ là $27$ nên $a=27x; b=27y$ với $x,y$ là những số tự nhiên nguyên tố cùng nhau.

$ab=27x.27y=8784$

$xy=\frac{8784}{27^2}=\frac{976}{81}$ không phải số tự nhiên (vô lý)

Do đó đề có vấn đề. Bạn xem lại.

Gọi hai số đã cho là a và b (a, b thuộc N, a>b)

=> ab=8748

     ƯCLN(a, b)=27=> a=27k₁

                                b=27k₂

                            (k>q; ƯCLN(k₁; k₂)=1)

=> 27k₁.27k₂=8748

     27.27.k₁.k₂=8748

       729.k₁.k₂=8748

             k₁.k₂=8748:729

             k₁.k₂=    12

Ta có bảng giá trị:

                                                          Vậy 2 số đã cho là: 324 và 27

                                                                            hoặc    108 và 81

giải:

ta gọi 2 số đó là a,b 

a= 27k

b= 27y

theo đề bài ta có  :a x b = 8748 thay vào ta có 27k x 27y = 8748

=729 .k.y = 8748

k.y = 8748 : 729 

k.y=12

ta có bảng sau 

=> có 4 cặp gồm : a= 1và b=12;a= 12 và  b=1 ; a = 3 và b=4 ; a=4 và b =3 ( 6,2 và 2,6 loại  vì có ƯCLN là 54)

tic nhé

olm duyệt nhanh cho em ạ!

hhjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

ucln cua 18 27 36 la 9

con lai tu lam nha

Đặt \(a=27m,b=27n\), \(\left(m,n\right)=1\).

Ta có: \(ab=27m.27n=729mn=8748\Leftrightarrow mn=12\)

mà \(\left(m,n\right)=1\)nên ta có bảng giá trị: 

\(57=3.19\)

\(48=2^4.3\)

\(27=3^3\)

\(\Rightarrow UCLN\left(57,48,27\right)=3\)