GCF of 3 and 9
GCF of 3 and 9 is the largest possible number that divides 3 and 9 exactly without any remainder. The factors of 3 and 9 are 1, 3 and 1, 3, 9 respectively. There are 3 commonly used methods to find the GCF of 3 and 9  long division, Euclidean algorithm, and prime factorization.
1.  GCF of 3 and 9 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is GCF of 3 and 9?
Answer: GCF of 3 and 9 is 3.
Explanation:
The GCF of two nonzero integers, x(3) and y(9), is the greatest positive integer m(3) that divides both x(3) and y(9) without any remainder.
Methods to Find GCF of 3 and 9
The methods to find the GCF of 3 and 9 are explained below.
 Listing Common Factors
 Long Division Method
 Prime Factorization Method
GCF of 3 and 9 by Listing Common Factors
 Factors of 3: 1, 3
 Factors of 9: 1, 3, 9
There are 2 common factors of 3 and 9, that are 1 and 3. Therefore, the greatest common factor of 3 and 9 is 3.
GCF of 3 and 9 by Long Division
GCF of 3 and 9 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
 Step 1: Divide 9 (larger number) by 3 (smaller number).
 Step 2: Since the remainder = 0, the divisor (3) is the GCF of 3 and 9.
The corresponding divisor (3) is the GCF of 3 and 9.
GCF of 3 and 9 by Prime Factorization
Prime factorization of 3 and 9 is (3) and (3 × 3) respectively. As visible, 3 and 9 have only one common prime factor i.e. 3. Hence, the GCF of 3 and 9 is 3.
☛ Also Check:
 GCF of 8 and 6 = 2
 GCF of 18 and 35 = 1
 GCF of 12 and 36 = 12
 GCF of 12 and 15 = 3
 GCF of 18 and 21 = 3
 GCF of 14 and 49 = 7
 GCF of 56 and 72 = 8
GCF of 3 and 9 Examples

Example 1: The product of two numbers is 27. If their GCF is 3, what is their LCM?
Solution:
Given: GCF = 3 and product of numbers = 27
∵ LCM × GCF = product of numbers
⇒ LCM = Product/GCF = 27/3
Therefore, the LCM is 9. 
Example 2: Find the GCF of 3 and 9, if their LCM is 9.
Solution:
∵ LCM × GCF = 3 × 9
⇒ GCF(3, 9) = (3 × 9)/9 = 3
Therefore, the greatest common factor of 3 and 9 is 3. 
Example 3: Find the greatest number that divides 3 and 9 exactly.
Solution:
The greatest number that divides 3 and 9 exactly is their greatest common factor, i.e. GCF of 3 and 9.
⇒ Factors of 3 and 9: Factors of 3 = 1, 3
 Factors of 9 = 1, 3, 9
Therefore, the GCF of 3 and 9 is 3.
FAQs on GCF of 3 and 9
What is the GCF of 3 and 9?
The GCF of 3 and 9 is 3. To calculate the greatest common factor of 3 and 9, we need to factor each number (factors of 3 = 1, 3; factors of 9 = 1, 3, 9) and choose the greatest factor that exactly divides both 3 and 9, i.e., 3.
What are the Methods to Find GCF of 3 and 9?
There are three commonly used methods to find the GCF of 3 and 9.
 By Long Division
 By Prime Factorization
 By Listing Common Factors
If the GCF of 9 and 3 is 3, Find its LCM.
GCF(9, 3) × LCM(9, 3) = 9 × 3
Since the GCF of 9 and 3 = 3
⇒ 3 × LCM(9, 3) = 27
Therefore, LCM = 9
☛ Greatest Common Factor Calculator
What is the Relation Between LCM and GCF of 3, 9?
The following equation can be used to express the relation between Least Common Multiple and GCF of 3 and 9, i.e. GCF × LCM = 3 × 9.
How to Find the GCF of 3 and 9 by Long Division Method?
To find the GCF of 3, 9 using long division method, 9 is divided by 3. The corresponding divisor (3) when remainder equals 0 is taken as GCF.
How to Find the GCF of 3 and 9 by Prime Factorization?
To find the GCF of 3 and 9, we will find the prime factorization of the given numbers, i.e. 3 = 3; 9 = 3 × 3.
⇒ Since 3 is the only common prime factor of 3 and 9. Hence, GCF (3, 9) = 3.
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