GCF that 9 and also 27 is the largest possible number that divides 9 and 27 specifically without any type of remainder. The components of 9 and 27 are 1, 3, 9 and 1, 3, 9, 27 respectively. There are 3 generally used approaches to discover the GCF that 9 and 27 - Euclidean algorithm, element factorization, and also long division.

You are watching: Greatest common factor of 9 and 27

1. | GCF of 9 and 27 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** GCF of 9 and 27 is 9.

**Explanation: **

The GCF of two non-zero integers, x(9) and y(27), is the greatest positive essence m(9) that divides both x(9) and y(27) without any kind of remainder.

The approaches to discover the GCF the 9 and also 27 are defined below.

Listing usual FactorsUsing Euclid's AlgorithmLong department Method### GCF the 9 and 27 by Listing typical Factors

**Factors that 9:**1, 3, 9

**Factors of 27:**1, 3, 9, 27

There room 3 common factors the 9 and also 27, that are 1, 3, and 9. Therefore, the greatest common factor the 9 and 27 is 9.

### GCF that 9 and 27 by Euclidean Algorithm

As every the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)where X > Y and mod is the modulo operator.

Here X = 27 and also Y = 9

GCF(27, 9) = GCF(9, 27 mod 9) = GCF(9, 0)GCF(9, 0) = 9 (∵ GCF(X, 0) = |X|, where X ≠ 0)Therefore, the worth of GCF of 9 and also 27 is 9.

### GCF that 9 and also 27 by lengthy Division

GCF of 9 and also 27 is the divisor that we get when the remainder becomes 0 after ~ doing long division repeatedly.

**Step 2:**due to the fact that the remainder = 0, the divisor (9) is the GCF of 9 and also 27.

The matching divisor (9) is the GCF of 9 and 27.

**☛ also Check:**

## GCF the 9 and also 27 Examples

**Example 1: discover the biggest number the divides 9 and 27 exactly. **

**Solution: **

The biggest number that divides 9 and 27 precisely is their greatest common factor, i.e. GCF the 9 and also 27.⇒ components of 9 and 27:

Factors of 9 = 1, 3, 9Factors that 27 = 1, 3, 9, 27Therefore, the GCF of 9 and also 27 is 9.

**Example 2: uncover the GCF that 9 and also 27, if your LCM is 27. **

**Solution: **

∵ LCM × GCF = 9 × 27⇒ GCF(9, 27) = (9 × 27)/27 = 9Therefore, the greatest common factor that 9 and 27 is 9.

**Example 3: The product of 2 numbers is 243. If their GCF is 9, what is their LCM? **

**Solution:**

Given: GCF = 9 and product of numbers = 243∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 243/9Therefore, the LCM is 27.

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## FAQs on GCF that 9 and 27

### What is the GCF of 9 and also 27?

The **GCF of 9 and also 27 is 9**. To calculation the GCF the 9 and 27, we need to variable each number (factors the 9 = 1, 3, 9; factors of 27 = 1, 3, 9, 27) and also choose the greatest variable that precisely divides both 9 and also 27, i.e., 9.

### How to uncover the GCF of 9 and 27 through Long department Method?

To find the GCF the 9, 27 utilizing long department method, 27 is separated by 9. The equivalent divisor (9) when remainder amounts to 0 is taken together GCF.

### What room the techniques to discover GCF that 9 and also 27?

There room three typically used approaches to uncover the **GCF that 9 and 27**.

### What is the Relation between LCM and GCF the 9, 27?

The following equation can be supplied to express the relation between Least typical Multiple (LCM) and GCF the 9 and 27, i.e. GCF × LCM = 9 × 27.

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### If the GCF the 27 and also 9 is 9, discover its LCM.

GCF(27, 9) × LCM(27, 9) = 27 × 9Since the GCF of 27 and 9 = 9⇒ 9 × LCM(27, 9) = 243Therefore, LCM = 27☛ GCF Calculator

### How to uncover the GCF the 9 and also 27 by prime Factorization?

To find the GCF the 9 and 27, we will find the element factorization of the offered numbers, i.e. 9 = 3 × 3; 27 = 3 × 3 × 3.⇒ because 3, 3 are usual terms in the element factorization that 9 and also 27. Hence, GCF(9, 27) = 3 × 3 = 9☛ element Numbers