Factors Of 6 And 9

GCF of half-dozen and nine

GCF of half-dozen and 9 is the largest possible number that divides half dozen and 9 exactly without whatever remainder. The factors of 6 and nine are 1, ii, 3, 6 and 1, 3, 9 respectively. In that location are 3 commonly used methods to detect the GCF of six and 9 - Euclidean algorithm, prime factorization, and long division.

1.	GCF of 6 and 9
2.	List of Methods
3.	Solved Examples
iv.	FAQs

What is GCF of 6 and 9?

Answer: GCF of 6 and ix is three.

Explanation:

The GCF of 2 non-zero integers, x(6) and y(nine), is the greatest positive integer thou(3) that divides both x(6) and y(ix) without any rest.

Methods to Find GCF of half-dozen and 9

Let's look at the dissimilar methods for finding the GCF of vi and 9.

• Listing Common Factors
• Long Sectionalization Method
• Prime number Factorization Method

GCF of half dozen and nine past Listing Mutual Factors

• Factors of 6: i, 2, 3, 6
• Factors of 9: 1, 3, 9

There are 2 common factors of 6 and 9, that are one and 3. Therefore, the greatest common factor of six and 9 is 3.

GCF of 6 and nine by Long Segmentation

GCF of half-dozen and 9 is the divisor that we get when the remainder becomes 0 afterward doing long division repeatedly.

• Step i: Dissever 9 (larger number) past 6 (smaller number).
• Step ii: Since the remainder ≠ 0, we will divide the divisor of step 1 (half-dozen) by the rest (3).
• Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (3) is the GCF of 6 and ix.

GCF of 6 and nine by Prime Factorization

Prime factorization of six and 9 is (ii × 3) and (3 × 3) respectively. As visible, 6 and 9 have only ane common prime factor i.e. 3. Hence, the GCF of 6 and ix is 3.

☛ Also Cheque:

• GCF of 64 and 96 = 32
• GCF of 9 and 10 = 1
• GCF of 56 and 98 = 14
• GCF of 40 and 60 = twenty
• GCF of v and 8 = 1
• GCF of xiv and 35 = 7
• GCF of 21 and 28 = 7

FAQs on GCF of 6 and 9

What is the GCF of vi and nine?

The GCF of half-dozen and 9 is 3 . To summate the GCF of half-dozen and 9, we need to factor each number (factors of 6 = i, two, three, 6; factors of 9 = 1, 3, nine) and choose the greatest gene that exactly divides both 6 and 9, i.eastward., 3.

If the GCF of 9 and half-dozen is 3, Detect its LCM.

GCF(9, 6) × LCM(9, 6) = nine × 6
Since the GCF of 9 and half dozen = iii
⇒ 3 × LCM(9, 6) = 54
Therefore, LCM = eighteen
☛ GCF Calculator

How to Find the GCF of 6 and 9 past Prime Factorization?

To find the GCF of 6 and 9, we will find the prime factorization of the given numbers, i.e. 6 = ii × 3; 9 = 3 × three.
⇒ Since three is the merely mutual prime factor of half-dozen and 9. Hence, GCF (6, ix) = three.
☛ Prime number Number

How to Find the GCF of 6 and 9 by Long Partitioning Method?

To discover the GCF of 6, 9 using long division method, 9 is divided by 6. The corresponding divisor (3) when remainder equals 0 is taken every bit GCF.

What are the Methods to Find GCF of six and nine?

There are three ordinarily used methods to observe the GCF of 6 and nine.

• By Euclidean Algorithm
• Past Long Partition
• By Prime Factorization

What is the Relation Between LCM and GCF of six, 9?

The post-obit equation can exist used to express the relation between LCM (To the lowest degree Mutual Multiple) and GCF of half-dozen and ix, i.e. GCF × LCM = six × 9.

Factors Of 6 And 9,

Source: https://www.cuemath.com/numbers/gcf-of-6-and-9/#:~:text=There%20are%202%20common%20factors,6%20and%209%20is%203.

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