GCF the 18 and 48 is the largest possible number that divides 18 and also 48 specifically without any kind of remainder. The components of 18 and also 48 space 1, 2, 3, 6, 9, 18 and also 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There space 3 commonly used methods to uncover the GCF the 18 and also 48 - Euclidean algorithm, prime factorization, and long division.

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 1 GCF of 18 and also 48 2 List that Methods 3 Solved Examples 4 FAQs

Answer: GCF that 18 and 48 is 6.

Explanation:

The GCF of 2 non-zero integers, x(18) and y(48), is the best positive essence m(6) the divides both x(18) and y(48) without any type of remainder.

The techniques to discover the GCF of 18 and also 48 are explained below.

Long division MethodUsing Euclid's AlgorithmListing typical Factors

### GCF the 18 and also 48 by long Division

GCF that 18 and also 48 is the divisor that we acquire when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of action 1 (18) by the remainder (12).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (6) is the GCF the 18 and 48.

### GCF the 18 and also 48 by Euclidean Algorithm

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mode Y)where X > Y and also mod is the modulo operator.

Here X = 48 and also Y = 18

GCF(48, 18) = GCF(18, 48 mod 18) = GCF(18, 12)GCF(18, 12) = GCF(12, 18 mode 12) = GCF(12, 6)GCF(12, 6) = GCF(6, 12 mode 6) = GCF(6, 0)GCF(6, 0) = 6 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF that 18 and also 48 is 6.

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### GCF of 18 and 48 through Listing common Factors

Factors of 18: 1, 2, 3, 6, 9, 18Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There space 4 typical factors the 18 and also 48, that room 1, 2, 3, and also 6. Therefore, the greatest typical factor of 18 and also 48 is 6.