GCF the 18 and 45 is the largest feasible number that divides 18 and 45 specifically without any kind of remainder. The factors of 18 and also 45 space 1, 2, 3, 6, 9, 18 and 1, 3, 5, 9, 15, 45 respectively. There room 3 frequently used techniques to uncover the GCF of 18 and 45 - long division, prime factorization, and Euclidean algorithm.

You are watching: What is the greatest common factor of 18 and 45

1.GCF the 18 and 45
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 18 and 45 is 9.

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Explanation:

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


The approaches to find the GCF the 18 and 45 are explained below.

Long division MethodListing common FactorsPrime administer Method

GCF the 18 and 45 by lengthy Division

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GCF the 18 and 45 is the divisor the we obtain 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 step 1 (18) by the remainder (9).Step 3: Repeat this process until the remainder = 0.

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

GCF that 18 and also 45 through Listing usual Factors

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Factors the 18: 1, 2, 3, 6, 9, 18Factors of 45: 1, 3, 5, 9, 15, 45

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

GCF of 18 and also 45 by prime Factorization

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

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GCF that 18 and also 45 Examples


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

Solution:

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


Example 2: discover the GCF of 18 and 45, if your LCM is 90.

Solution:

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


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

Solution:

Given: GCF (z, 18) = 9 and also 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 of 18 and also 45

What is the GCF the 18 and also 45?

The GCF that 18 and 45 is 9. To calculate the GCF the 18 and 45, we need to factor 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 element that exactly divides both 18 and 45, i.e., 9.

If the GCF the 45 and 18 is 9, find its LCM.

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

What is the Relation in between LCM and also GCF the 18, 45?

The complying with equation deserve to be used to refer the relation between LCM and also GCF that 18 and 45, i.e. GCF × LCM = 18 × 45.

How to discover the GCF that 18 and also 45 through Long department Method?

To discover the GCF that 18, 45 utilizing long division method, 45 is split by 18. The equivalent divisor (9) as soon as remainder amounts to 0 is taken together GCF.

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What are the methods to find GCF the 18 and also 45?

There are three commonly used methods to find the GCF the 18 and 45.

By element FactorizationBy Listing common FactorsBy lengthy Division

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

To discover the GCF of 18 and 45, us will uncover the element factorization of the offered numbers, i.e. 18 = 2 × 3 × 3; 45 = 3 × 3 × 5.⇒ since 3, 3 are common terms in the prime factorization the 18 and also 45. Hence, GCF(18, 45) = 3 × 3 = 9☛ What is a prime Number?