# how to extract a common factor of vector components

v=vec([a*x,a*y])

# should give

a*vec([x,y])

how to extract a common factor of vector components

v=vec([a*x,a*y])

a*vec([x,y])

1

It's not clear what type of object you want as a result. You could store an 'unevaluated' expression such as a scalar times a vector as a formal sum (`FormalSum`

) with coefficients in the base ring of the vector:

```
def extract_gcd(vec):
g = gcd(vec)
return FormalSum([(g, vec/g)], parent=FormalSums(vec.base_ring()))
```

Now

```
var('a,x,y')
extract_gcd(vector([a*x,a*y]))
```

yields

```
a*(x, y)
```

As an alternative, you might just want to work with pairs:

```
def extract_gcd(vec):
g = gcd(vec)
return (g, vec/g)
```

Asked: **
2018-06-30 06:18:38 -0500
**

Seen: **134 times**

Last updated: **Jun 30 '18**

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