GCF that 4 and 10 is the largest possible number the divides 4 and 10 exactly without any kind of remainder. The determinants of 4 and also 10 are 1, 2, 4 and also 1, 2, 5, 10 respectively. There room 3 frequently used techniques to find the GCF of 4 and 10 - prime factorization, long division, and Euclidean algorithm.

You are watching: Greatest common factor of 4 and 10

1. | GCF of 4 and 10 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** GCF that 4 and also 10 is 2.

**Explanation: **

The GCF of 2 non-zero integers, x(4) and y(10), is the best positive essence m(2) that divides both x(4) and also y(10) without any type of remainder.

Let's look in ~ the different methods because that finding the GCF that 4 and also 10.

Listing common FactorsLong division MethodPrime administrate Method### GCF the 4 and also 10 by Listing typical Factors

**Factors that 4:**1, 2, 4

**Factors the 10:**1, 2, 5, 10

There room 2 usual factors that 4 and also 10, that room 1 and 2. Therefore, the greatest common factor the 4 and also 10 is 2.

### GCF that 4 and 10 by lengthy Division

GCF that 4 and also 10 is the divisor the we obtain when the remainder becomes 0 ~ doing long division repeatedly.

**Step 2:**because the remainder ≠ 0, we will divide the divisor of step 1 (4) by the remainder (2).

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

The matching divisor (2) is the GCF that 4 and also 10.

### GCF that 4 and also 10 by prime Factorization

Prime administer of 4 and also 10 is (2 × 2) and also (2 × 5) respectively. As visible, 4 and also 10 have only one typical prime aspect i.e. 2. Hence, the GCF the 4 and 10 is 2.

**☛ likewise Check:**

## GCF the 4 and also 10 Examples

**Example 1: discover the GCF of 4 and 10, if their LCM is 20. **

**Solution: **

∵ LCM × GCF = 4 × 10⇒ GCF(4, 10) = (4 × 10)/20 = 2Therefore, the greatest typical factor that 4 and also 10 is 2.

**Example 2: The product of 2 numbers is 40. If your GCF is 2, what is their LCM? **

**Solution:**

Given: GCF = 2 and also product of number = 40∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 40/2Therefore, the LCM is 20.

**Example 3: find the greatest number the divides 4 and 10 exactly. **

**Solution: **

The greatest number the divides 4 and 10 precisely is their greatest usual factor, i.e. GCF of 4 and 10.⇒ factors of 4 and also 10:

Factors that 4 = 1, 2, 4Factors that 10 = 1, 2, 5, 10Therefore, the GCF the 4 and 10 is 2.

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## FAQs on GCF of 4 and 10

### What is the GCF the 4 and also 10?

The **GCF the 4 and also 10 is 2**. To calculate the greatest typical factor (GCF) that 4 and 10, we need to factor each number (factors the 4 = 1, 2, 4; factors of 10 = 1, 2, 5, 10) and also choose the greatest aspect that precisely divides both 4 and also 10, i.e., 2.

### How to uncover the GCF of 4 and also 10 by prime Factorization?

To find the GCF that 4 and also 10, us will find the prime factorization the the given numbers, i.e. 4 = 2 × 2; 10 = 2 × 5.⇒ because 2 is the only typical prime element of 4 and 10. Hence, GCF (4, 10) = 2.☛ element Numbers

### If the GCF of 10 and also 4 is 2, find its LCM.

GCF(10, 4) × LCM(10, 4) = 10 × 4Since the GCF that 10 and also 4 = 2⇒ 2 × LCM(10, 4) = 40Therefore, LCM = 20☛ Greatest common Factor Calculator

### How to find the GCF that 4 and 10 through Long department Method?

To discover the GCF of 4, 10 utilizing long department method, 10 is divided by 4. The corresponding divisor (2) as soon as remainder equals 0 is taken as GCF.

### What room the approaches to uncover GCF that 4 and also 10?

There are three commonly used methods to find the **GCF of 4 and also 10**.

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### What is the Relation between LCM and also GCF the 4, 10?

The complying with equation have the right to be used to refer the relation in between LCM (Least usual Multiple) and also GCF that 4 and 10, i.e. GCF × LCM = 4 × 10.