GCF of 18 and also 30 is the largest feasible number that divides 18 and 30 specifically without any kind of remainder. The components of 18 and 30 are 1, 2, 3, 6, 9, 18 and 1, 2, 3, 5, 6, 10, 15, 30 respectively. There are 3 frequently used methods to discover the GCF of 18 and also 30 - Euclidean algorithm, prime factorization, and lengthy department.

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1.GCF of 18 and also 30
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF of 18 and also 30 is 6.

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Explanation:

The GCF of 2 non-zero integers, x(18) and also y(30), is the greatest positive integer m(6) that divides both x(18) and y(30) without any remainder.


Let's look at the various approaches for finding the GCF of 18 and also 30.

Long Division MethodListing Usual FactorsUsing Euclid's Algorithm

GCF of 18 and 30 by Long Division

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GCF of 18 and 30 is the divisor that we obtain when the remainder becomes 0 after doing lengthy division repetitively.

Step 2: Because the remainder ≠ 0, we will certainly divide the divisor of step 1 (18) by the remainder (12).Tip 3: Repeat this process until the remainder = 0.

The corresponding divisor (6) is the GCF of 18 and also 30.

GCF of 18 and 30 by Listing Common Factors

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Factors of 18: 1, 2, 3, 6, 9, 18Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Tright here are 4 widespread determinants of 18 and 30, that are 1, 2, 3, and 6. Because of this, the best prevalent element of 18 and 30 is 6.

GCF of 18 and 30 by Euclidean Algorithm

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

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Here X = 30 and Y = 18

GCF(30, 18) = GCF(18, 30 mod 18) = GCF(18, 12)GCF(18, 12) = GCF(12, 18 mod 12) = GCF(12, 6)GCF(12, 6) = GCF(6, 12 mod 6) = GCF(6, 0)GCF(6, 0) = 6 (∵ GCF(X, 0) = |X|, wbelow X ≠ 0)

Therefore, the value of GCF of 18 and also 30 is 6.