GCF of 5 and 25 is the largest possible number the divides 5 and also 25 specifically without any remainder. The determinants of 5 and 25 are 1, 5 and also 1, 5, 25 respectively. There space 3 commonly used methods to find the GCF that 5 and also 25 - Euclidean algorithm, element factorization, and long division.

You are watching: What is the gcf of 5 and 25

1. | GCF of 5 and also 25 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** GCF that 5 and 25 is 5.

**Explanation: **

The GCF of 2 non-zero integers, x(5) and also y(25), is the greatest positive creature m(5) the divides both x(5) and y(25) without any type of remainder.

The methods to discover the GCF of 5 and also 25 are defined below.

Using Euclid's AlgorithmPrime administer MethodLong department Method### GCF of 5 and also 25 by Euclidean Algorithm

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

Here X = 25 and also Y = 5

GCF(25, 5) = GCF(5, 25 mode 5) = GCF(5, 0)GCF(5, 0) = 5 (∵ GCF(X, 0) = |X|, whereby X ≠ 0)Therefore, the value of GCF of 5 and also 25 is 5.

### GCF of 5 and 25 by element Factorization

Prime administrate of 5 and also 25 is (5) and also (5 × 5) respectively. As visible, 5 and also 25 have actually only one typical prime variable i.e. 5. Hence, the GCF of 5 and also 25 is 5.

### GCF the 5 and also 25 by lengthy Division

GCF the 5 and also 25 is the divisor that we obtain when the remainder becomes 0 after ~ doing long division repeatedly.

**Step 2:**due to the fact that the remainder = 0, the divisor (5) is the GCF of 5 and also 25.

The matching divisor (5) is the GCF the 5 and 25.

**☛ additionally Check:**

## GCF that 5 and 25 Examples

**Example 1: The product of two numbers is 125. If their GCF is 5, what is their LCM? **

**Solution:**

Given: GCF = 5 and also product of numbers = 125∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 125/5Therefore, the LCM is 25.

**Example 2: find the best number the divides 5 and also 25 exactly. **

**Solution: **

The greatest number that divides 5 and also 25 specifically is their greatest typical factor, i.e. GCF that 5 and 25.⇒ components of 5 and also 25:

Factors of 5 = 1, 5Factors that 25 = 1, 5, 25Therefore, the GCF of 5 and 25 is 5.

**Example 3: uncover the GCF of 5 and also 25, if their LCM is 25. **

**Solution: **

∵ LCM × GCF = 5 × 25⇒ GCF(5, 25) = (5 × 25)/25 = 5Therefore, the greatest typical factor the 5 and 25 is 5.

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## FAQs top top GCF that 5 and 25

### What is the GCF the 5 and also 25?

The **GCF that 5 and also 25 is 5**. To calculate the greatest usual factor of 5 and also 25, we need to variable each number (factors of 5 = 1, 5; determinants of 25 = 1, 5, 25) and choose the greatest factor that precisely divides both 5 and 25, i.e., 5.

### What are the methods to discover GCF of 5 and also 25?

There room three frequently used methods to uncover the **GCF the 5 and 25**.

### What is the Relation between LCM and also GCF the 5, 25?

The following equation can be offered to to express the relation between LCM and also GCF the 5 and 25, i.e. GCF × LCM = 5 × 25.

### If the GCF the 25 and also 5 is 5, discover its LCM.

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GCF(25, 5) × LCM(25, 5) = 25 × 5Since the GCF of 25 and 5 = 5⇒ 5 × LCM(25, 5) = 125Therefore, LCM = 25☛ Greatest common Factor Calculator

### How to discover the GCF of 5 and 25 by element Factorization?

To find the GCF of 5 and 25, us will uncover the element factorization the the given numbers, i.e. 5 = 5; 25 = 5 × 5.⇒ because 5 is the only usual prime variable of 5 and 25. Hence, GCF (5, 25) = 5.☛ What room Prime Numbers?

### How to find the GCF of 5 and 25 by Long division Method?

To find the GCF that 5, 25 utilizing long division method, 25 is divided by 5. The corresponding divisor (5) once remainder equals 0 is taken as GCF.