GCF that 18 and also 42 is the largest feasible number the divides 18 and 42 specifically without any remainder. The factors of 18 and also 42 are 1, 2, 3, 6, 9, 18 and 1, 2, 3, 6, 7, 14, 21, 42 respectively. There space 3 typically used techniques to discover the GCF the 18 and also 42 - lengthy division, Euclidean algorithm, and also prime factorization.

You are watching: What is the gcf of 18 and 42

1.GCF that 18 and 42
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 18 and 42 is 6.

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Explanation:

The GCF of 2 non-zero integers, x(18) and also y(42), is the best positive essence m(6) the divides both x(18) and also y(42) without any remainder.


The approaches to uncover the GCF of 18 and 42 are described below.

Listing usual FactorsPrime administrate MethodLong department Method

GCF the 18 and also 42 through Listing common Factors

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Factors that 18: 1, 2, 3, 6, 9, 18Factors that 42: 1, 2, 3, 6, 7, 14, 21, 42

There space 4 typical factors of 18 and also 42, that space 1, 2, 3, and also 6. Therefore, the greatest typical factor of 18 and also 42 is 6.

GCF of 18 and 42 by element Factorization

Prime factorization of 18 and also 42 is (2 × 3 × 3) and (2 × 3 × 7) respectively. As visible, 18 and also 42 have usual prime factors. Hence, the GCF of 18 and also 42 is 2 × 3 = 6.

GCF the 18 and 42 by lengthy Division

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GCF the 18 and 42 is the divisor the we get when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of step 1 (18) through the remainder (6).Step 3: Repeat this process until the remainder = 0.

The equivalent divisor (6) is the GCF that 18 and also 42.

☛ likewise Check:


GCF the 18 and also 42 Examples


Example 1: For two numbers, GCF = 6 and also LCM = 126. If one number is 18, find the various other number.

Solution:

Given: GCF (z, 18) = 6 and also LCM (z, 18) = 126∵ GCF × LCM = 18 × (z)⇒ z = (GCF × LCM)/18⇒ z = (6 × 126)/18⇒ z = 42Therefore, the various other number is 42.


Example 2: discover the GCF of 18 and also 42, if your LCM is 126.

Solution:

∵ LCM × GCF = 18 × 42⇒ GCF(18, 42) = (18 × 42)/126 = 6Therefore, the greatest typical factor of 18 and 42 is 6.


Example 3: The product of 2 numbers is 756. If your GCF is 6, what is your LCM?

Solution:

Given: GCF = 6 and also product of number = 756∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 756/6Therefore, the LCM is 126.


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FAQs on GCF of 18 and 42

What is the GCF of 18 and also 42?

The GCF of 18 and 42 is 6. To calculate the GCF that 18 and 42, we require to aspect each number (factors the 18 = 1, 2, 3, 6, 9, 18; factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42) and also choose the greatest element that precisely divides both 18 and also 42, i.e., 6.

How to find the GCF of 18 and 42 by prime Factorization?

To uncover the GCF the 18 and 42, we will find the prime factorization of the given numbers, i.e. 18 = 2 × 3 × 3; 42 = 2 × 3 × 7.⇒ due to the fact that 2, 3 are common terms in the prime factorization of 18 and 42. Hence, GCF(18, 42) = 2 × 3 = 6☛ element Numbers

What is the Relation between LCM and also GCF of 18, 42?

The following equation have the right to be provided to express the relation in between LCM and also GCF of 18 and also 42, i.e. GCF × LCM = 18 × 42.

What room the techniques to find GCF of 18 and 42?

There are three commonly used methods to discover the GCF of 18 and also 42.

By lengthy DivisionBy element FactorizationBy Listing typical Factors

If the GCF that 42 and 18 is 6, find its LCM.

See more: How Do You Find The Perimeter Of A Quadrilateral Given Its Dimensions

GCF(42, 18) × LCM(42, 18) = 42 × 18Since the GCF that 42 and also 18 = 6⇒ 6 × LCM(42, 18) = 756Therefore, LCM = 126☛ GCF Calculator

How to uncover the GCF that 18 and also 42 through Long department Method?

To discover the GCF that 18, 42 utilizing long department method, 42 is divided by 18. The matching divisor (6) once remainder amounts to 0 is taken as GCF.