GCF of 18 and 35 is the largest possible number that divides 18 and 35 exactly without any remainder. The determinants of 18 and 35 are 1, 2, 3, 6, 9, 18 and also 1, 5, 7, 35 respectively. There are 3 frequently used methods to find the GCF that 18 and also 35 - long division, element factorization, and Euclidean algorithm.

You are watching: What is the greatest common factor of 18 and 35

 1 GCF that 18 and also 35 2 List that Methods 3 Solved Examples 4 FAQs

Answer: GCF the 18 and also 35 is 1.

Explanation:

The GCF of 2 non-zero integers, x(18) and also y(35), is the biggest positive essence m(1) the divides both x(18) and y(35) without any type of remainder.

Let's look in ~ the various methods because that finding the GCF that 18 and 35.

Long department MethodPrime administer MethodListing common Factors

### GCF of 18 and 35 by long Division

GCF the 18 and 35 is the divisor the we get when the remainder i do not care 0 after doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of action 1 (18) through the remainder (17).Step 3: Repeat this procedure until the remainder = 0.

The corresponding divisor (1) is the GCF of 18 and also 35.

### GCF that 18 and also 35 by element Factorization

Prime administrate of 18 and 35 is (2 × 3 × 3) and also (5 × 7) respectively. Together visible, there room no typical prime factors in between 18 and 35, i.e. They space coprime. Hence, the GCF of 18 and 35 will be 1.

### GCF the 18 and 35 by Listing usual Factors

Factors the 18: 1, 2, 3, 6, 9, 18Factors the 35: 1, 5, 7, 35

Since, 1 is the only common factor between 18 and also 35. The Greatest usual Factor that 18 and also 35 is 1.

## GCF of 18 and also 35 Examples

Example 1: The product of 2 numbers is 630. If your GCF is 1, what is their LCM?

Solution:

Given: GCF = 1 and product of number = 630∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 630/1Therefore, the LCM is 630.

Example 2: find the best number the divides 18 and 35 exactly.

Solution:

The biggest number the divides 18 and 35 precisely is their greatest common factor, i.e. GCF the 18 and also 35.⇒ components of 18 and 35:

Factors of 18 = 1, 2, 3, 6, 9, 18Factors the 35 = 1, 5, 7, 35

Therefore, the GCF of 18 and 35 is 1.

Example 3: For two numbers, GCF = 1 and LCM = 630. If one number is 35, discover the various other number.

Solution:

Given: GCF (y, 35) = 1 and also LCM (y, 35) = 630∵ GCF × LCM = 35 × (y)⇒ y = (GCF × LCM)/35⇒ y = (1 × 630)/35⇒ y = 18Therefore, the other number is 18.

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## FAQs top top GCF that 18 and also 35

### What is the GCF of 18 and also 35?

The GCF that 18 and also 35 is 1. To calculate the greatest typical factor of 18 and also 35, we require to factor each number (factors of 18 = 1, 2, 3, 6, 9, 18; components of 35 = 1, 5, 7, 35) and also choose the greatest aspect that precisely divides both 18 and also 35, i.e., 1.

### How to discover the GCF that 18 and also 35 by prime Factorization?

To find the GCF of 18 and also 35, us will find the prime factorization that the given numbers, i.e. 18 = 2 × 3 × 3; 35 = 5 × 7.⇒ there is no common prime variable for 18 and also 35. Hence, GCF (18, 35) = 1.☛ What is a prime Number?

### What is the Relation between LCM and GCF of 18, 35?

The complying with equation can be offered to refer the relation between Least usual Multiple (LCM) and also GCF the 18 and 35, i.e. GCF × LCM = 18 × 35.

### If the GCF that 35 and also 18 is 1, find its LCM.

GCF(35, 18) × LCM(35, 18) = 35 × 18Since the GCF the 35 and 18 = 1⇒ 1 × LCM(35, 18) = 630Therefore, LCM = 630☛ GCF Calculator

### What are the techniques to uncover GCF of 18 and 35?

There space three commonly used methods to uncover the GCF of 18 and also 35.

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By lengthy DivisionBy Euclidean AlgorithmBy element Factorization

### How to discover the GCF of 18 and 35 by Long division Method?

To find the GCF that 18, 35 using long division method, 35 is divided by 18. The matching divisor (1) when remainder equals 0 is taken together GCF.