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Find the common factors of :
(a) 4, 8 and 12
(b) 5, 15 and 25
To do :
We have to find the common factors of the given numbers.
Solution :
(a) Factors of 4 are
$4 = 1\times 4$
$= 2\times 2$
$= 4\times 1$
Therefore, factors of 4 are 1,2 and 4.
Factors of 8 are
$8 = 1\times 8$
$= 2\times 4$
$= 8\times 1$
Therefore, factors of 8 are 1,2,4 and 8.
Factors of 12 are
$12 = 1\times 12$
$= 2\times 6$
$= 3\times 4$
$=12\times1$
Therefore, factors of 12 are 1,2,3,4,6 and 12.
The common factors of 4,8 and 12 are 1,2 and 4.
(b) Factors of 5 are
$5 = 1\times 5$
$= 5\times 1$
Therefore, factors of 5 are 1 and 5.
Factors of 15 are
$15 = 1\times 15$
$= 3\times 5$
$= 15\times 1$
Therefore, factors of 15 are 1,3,5 and 15.
Factors of 25 are
$25 = 1\times 25$
$= 5\times 5$
$= 25\times 1$
Therefore, factors of 25 are 1,5 and 25.
The common factors of 5,15 and 25 are 1 and 5.