GCF the 18 and also 45 is the largest feasible number the divides 18 and also 45 exactly without any type of remainder. The determinants of 18 and also 45 are 1, 2, 3, 6, 9, 18 and also 1, 3, 5, 9, 15, 45 respectively. There room 3 typically used approaches to uncover the GCF of 18 and also 45 - lengthy division, prime factorization, and also Euclidean algorithm.

You are watching: Greatest common factor of 18 and 45

1. | GCF that 18 and 45 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** GCF the 18 and 45 is 9.

**Explanation: **

The GCF of two non-zero integers, x(18) and also y(45), is the biggest positive integer m(9) that divides both x(18) and also y(45) without any kind of remainder.

The methods to uncover the GCF that 18 and 45 are explained below.

Long department MethodListing common FactorsPrime administrate Method### GCF the 18 and also 45 by lengthy Division

GCF of 18 and also 45 is the divisor the we obtain when the remainder i do not care 0 after ~ doing long department repeatedly.

**Step 2:**because the remainder ≠ 0, we will divide the divisor of action 1 (18) by the remainder (9).

**Step 3:**Repeat this procedure until the remainder = 0.

The equivalent divisor (9) is the GCF that 18 and 45.

### GCF of 18 and 45 by Listing typical Factors

**Factors that 18:**1, 2, 3, 6, 9, 18

**Factors the 45:**1, 3, 5, 9, 15, 45

There space 3 typical factors of 18 and also 45, that room 1, 3, and 9. Therefore, the greatest common factor the 18 and also 45 is 9.

### GCF the 18 and also 45 by prime Factorization

Prime administer of 18 and 45 is (2 × 3 × 3) and also (3 × 3 × 5) respectively. As visible, 18 and 45 have usual prime factors. Hence, the GCF of 18 and also 45 is 3 × 3 = 9.

**☛ likewise Check:**

## GCF that 18 and also 45 Examples

**Example 1: The product of 2 numbers is 810. If your GCF is 9, what is your LCM? **

**Solution:**

Given: GCF = 9 and product of number = 810∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 810/9Therefore, the LCM is 90.

**Example 2: find the GCF the 18 and 45, if your LCM is 90. **

**Solution: **

∵ LCM × GCF = 18 × 45⇒ GCF(18, 45) = (18 × 45)/90 = 9Therefore, the greatest common factor the 18 and also 45 is 9.

**Example 3: For two numbers, GCF = 9 and also LCM = 90. If one number is 18, uncover the various other number.**

**Solution:**

Given: GCF (z, 18) = 9 and LCM (z, 18) = 90∵ GCF × LCM = 18 × (z)⇒ z = (GCF × LCM)/18⇒ z = (9 × 90)/18⇒ z = 45Therefore, the other number is 45.

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## FAQs on GCF the 18 and also 45

### What is the GCF the 18 and also 45?

The **GCF the 18 and also 45 is 9**. To calculation the GCF of 18 and also 45, we need to element each number (factors of 18 = 1, 2, 3, 6, 9, 18; determinants of 45 = 1, 3, 5, 9, 15, 45) and also choose the greatest aspect that exactly divides both 18 and also 45, i.e., 9.

### If the GCF of 45 and also 18 is 9, discover its LCM.

GCF(45, 18) × LCM(45, 18) = 45 × 18Since the GCF of 45 and 18 = 9⇒ 9 × LCM(45, 18) = 810Therefore, LCM = 90☛ GCF Calculator

### What is the Relation between LCM and GCF that 18, 45?

The complying with equation have the right to be provided to refer the relation in between LCM and GCF the 18 and also 45, i.e. GCF × LCM = 18 × 45.

### How to uncover the GCF of 18 and 45 through Long division Method?

To discover the GCF of 18, 45 using long department method, 45 is separated by 18. The matching divisor (9) when remainder equals 0 is taken as GCF.

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### What space the approaches to find GCF of 18 and also 45?

There room three commonly used techniques to find the **GCF of 18 and 45**.

### How to discover the GCF that 18 and 45 by element Factorization?

To discover the GCF the 18 and 45, us will find the prime factorization that the provided numbers, i.e. 18 = 2 × 3 × 3; 45 = 3 × 3 × 5.⇒ due to the fact that 3, 3 are typical terms in the prime factorization of 18 and 45. Hence, GCF(18, 45) = 3 × 3 = 9☛ What is a prime Number?