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Common factors: 3, 5, 15.
HCF: 15.
To work out:
Make a factor tree or ladder. (Ignore the dashes)
----45
---/---\
--3----15
-------/---\
------3----5
We cannot go any further as 3 & 5 are prime.
Therefore 45 = 3 x 3 x 5.
(same with 60) 60 = 2 x 2 x 3 x 5.
The easiest way is to now make a venn diagram. Put the numbers that appear in both lists in the intersection. (3 and 5 but do not put both threes in)
my venn diagram--->(3)(3, 5) (1, 2)
Then, times the numbers in the intersection together... and voila! You get 15 which is the HCF!
--To find the LCM, multiply all the numbers in the VENN DIAGRAM together. =] \AT
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∙ 11y ago
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