GCF that 18 and 42 is the largest possible number that divides 18 and 42 specifically without any type of remainder. The determinants of 18 and 42 are 1, 2, 3, 6, 9, 18 and also 1, 2, 3, 6, 7, 14, 21, 42 respectively. There room 3 generally used methods to find the GCF that 18 and also 42 - lengthy division, Euclidean algorithm, and also prime factorization.

You are watching: Common factors of 18 and 42

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

Answer: GCF the 18 and 42 is 6.

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Explanation:

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


The approaches to discover the GCF the 18 and also 42 are described below.

Listing usual FactorsPrime factorization MethodLong department Method

GCF the 18 and also 42 through Listing common Factors

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

There space 4 usual factors of 18 and also 42, that space 1, 2, 3, and 6. Therefore, the greatest common factor of 18 and also 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 also 42 have typical prime factors. Hence, the GCF that 18 and 42 is 2 × 3 = 6.

GCF the 18 and 42 by long Division

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

Step 2: because 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 matching divisor (6) is the GCF the 18 and 42.

☛ also Check:


GCF of 18 and also 42 Examples


Example 1: For 2 numbers, GCF = 6 and also LCM = 126. If one number is 18, discover the various 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 various other number is 42.


Example 2: discover the GCF the 18 and 42, if their LCM is 126.

Solution:

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


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

Solution:

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


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FAQs top top GCF that 18 and also 42

What is the GCF the 18 and also 42?

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

How to uncover the GCF the 18 and also 42 by element Factorization?

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

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

The complying with equation deserve to be offered to express the relation in between LCM and GCF that 18 and 42, i.e. GCF × LCM = 18 × 42.

What space the methods to find GCF that 18 and 42?

There space three frequently used techniques to find the GCF of 18 and 42.

By lengthy DivisionBy prime FactorizationBy Listing common Factors

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

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

How to find the GCF that 18 and 42 by Long division Method?

To uncover the GCF of 18, 42 making use of long division method, 42 is divided by 18. The equivalent divisor (6) once remainder equals 0 is taken as GCF.