Question

what is the greatest common factor of 20 and 30? look at the colored part of each shape. which shape shows three - fourths?

Explanation:

Step1: Prime - factorize 20

$20 = 2\times2\times5$

Step2: Prime - factorize 50

$50=2\times5\times5$

Step3: Identify common factors

The common factors are 2 and 5.

Step4: Calculate GCF

$GCF(20,50)=2\times5 = 10$

Step1: Understand the fraction

Three - fourths means 3 out of 4 equal parts.

Step2: Analyze the shapes

The circle is divided into 4 equal sectors and 3 are colored.

Answer:

10

For the second part about the shapes showing three - fourths:
The circle divided into 4 equal parts with 3 parts colored shows three - fourths.