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5 tháng 9 2023

\(180=2^2\cdot3^2\cdot5\)

Vậy để ước chung lớn nhất của 2 số không quá 3 thì thừa số chung khi phân tích 2 số ra số nguyên tố là 3.

Vậy \(a=2^2\cdot3=12;b=5\cdot3=15\) và \(a=2^2\cdot3\cdot5=60;b=3\)

5 tháng 9 2023

Vì \(ƯCLN\) của chúng là \(3\) nên:

Ta gọi:

Số lớn là: \(3x\)

Số bé là: \(3y\)

Trong đó \(x\) và \(y\) là hai số nguyên tố cùng nhau \(\left(x>y\right)\)

Theo đề bài ta có:

\(3x.3y=180;xy=20\)

Vì \(x>y\) và \(x,y\) là hai số nguyên tố cùng nhau nên:

\(\left(x,y\right)=\left(20;1\right),\left(5;4\right)\)

Với \(x=20;y=1\Rightarrow x=60;y=3\)

Với \(x=5;y=4\Rightarrow x=15;y=12\)

31 tháng 1 2022

UKM

^6^7g^7*(KHV C GTGFCCGttedx

8 tháng 12 2015

a) goi hai so la a ; b va a >b

vi UCLN(a,b)=18=>a=18k            ;       b=18q       (trong do UCLN (k,q)=1 va k>q)

=>a+b=162

18k+18q =162

18(k+q)=162

k+q=9

ta co bang sau   

 

k1234
q8765
a18365472
b14412610890

vay ...........

   
    
    

 

29 tháng 10 2016

21453 

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