GCF that 18 and also 42 is the largest possible number the divides 18 and 42 specifically without any remainder. The determinants of 18 and also 42 room 1, 2, 3, 6, 9, 18 and also 1, 2, 3, 6, 7, 14, 21, 42 respectively. There are 3 commonly used approaches to uncover the GCF that 18 and 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 also 42
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 18 and also 42 is 6.

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Explanation:

The GCF of two non-zero integers, x(18) and also y(42), is the greatest positive integer m(6) the divides both x(18) and also y(42) without any type of remainder.


The methods to discover the GCF the 18 and also 42 are defined below.

Listing usual FactorsPrime factorization MethodLong division Method

GCF of 18 and 42 by Listing usual Factors

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

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

GCF the 18 and 42 by element Factorization

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

GCF the 18 and also 42 by long Division

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GCF of 18 and also 42 is the divisor that we obtain when the remainder i do not care 0 after ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will certainly divide the divisor of action 1 (18) by the remainder (6).Step 3: Repeat this procedure until the remainder = 0.

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

☛ likewise Check:


GCF of 18 and also 42 Examples


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

Solution:

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


Example 2: uncover 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 that 18 and 42 is 6.


Example 3: The product of two numbers is 756. If your GCF is 6, what is their 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 ~ above GCF of 18 and 42

What is the GCF of 18 and 42?

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

How to discover the GCF that 18 and also 42 by prime Factorization?

To discover the GCF that 18 and also 42, us will find the element factorization of the provided numbers, i.e. 18 = 2 × 3 × 3; 42 = 2 × 3 × 7.⇒ since 2, 3 are typical terms in the prime factorization the 18 and also 42. Hence, GCF(18, 42) = 2 × 3 = 6☛ element Numbers

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

The complying with equation can be supplied to express the relation in between LCM and also GCF of 18 and 42, i.e. GCF × LCM = 18 × 42.

What space the techniques to discover GCF that 18 and also 42?

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

By lengthy DivisionBy prime FactorizationBy Listing typical Factors

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

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

How to uncover the GCF of 18 and also 42 by Long department Method?

To uncover the GCF the 18, 42 using long division method, 42 is split by 18. The corresponding divisor (6) as soon as remainder amounts to 0 is taken as GCF.