COMMON FACTORS AND COMMON MULTIPLES

COMMON FACTORS AND COMMON MULTIPLES

(1)Given two numbers 12 and 18:

(i) F12 ={1, 2, 3, 4, 6 and 12}
(ii)F18 ={1, 2, 3, 6, 9 and 18}

note that the numbers 1, 2, 3 and 6 are factors common to both  F12
and F18. i.e. F12 n F18 ={1, 2, 3, 6}

refer to the figure below

 (2)Given two numbers 8 and 15:

(i)F8={1, 2, 4, 8}
(ii)F15={1, 3, 5, 15}

it can easily be seen that the common factor(s) of both 8 and 15
is 1 i.e F8 n F15={1}
refer to the figure below:

(3)Given two numbers 4 and 6:

The multiples of 4 are M4={ 4, 8, 16, 20, 24, 28, 32, 36,...., 4n}
The multiples of 6 are M6={6, 12, 18, 24, 30, 36, 42,...., 6n}
of the are above multiples 12, 24, 36, ...are the common multiples
of 4 and 6 i.e. M4 n M6 ={12, 24, 36}