190k views
1 vote
Find the greatest common factor for the group of numbers. 20. 12, 24

User Jambrose
by
8.3k points

1 Answer

6 votes

Search for the numbers that divide all of the given set.

Notice that all three of them can be divided by two:


\begin{gathered} (20)/(2)=10 \\ (12)/(2)=6 \\ (24)/(2)=12 \end{gathered}

Therefore, 2 is the first common factor. Now, take the numbers 10, 6 and 12 and repeat the procedure. Notice that all of them are divisible by 2:


\begin{gathered} (10)/(2)=5 \\ (6)/(2)=3 \\ (12)/(2)=6 \end{gathered}

Therefore, 2 is the next common factor. Now, take the numbers 5, 3 and 6 and repeat the procedure. Notice that 3 is not divisible by 2 and 5 is not divisible by 3. Since there are no more numbers lower tan 3 that divide all of the numbers, there are no more common factors.

The common factors were 2 and 2. Multiply all the common factors to find the greatest common factor:


2\cdot2=4

Therefore, 4 is the greatest common factor of 20,12 and 24.

User Vikram Ezhil
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories