GCF the 9 and 24 is the largest possible number the divides 9 and 24 precisely without any kind of remainder. The factors of 9 and 24 room 1, 3, 9 and 1, 2, 3, 4, 6, 8, 12, 24 respectively. There are 3 frequently used methods to uncover the GCF of 9 and 24 - prime factorization, lengthy division, and also Euclidean algorithm.

You are watching: What is the gcf of 24 and 9

1.GCF the 9 and also 24
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 9 and also 24 is 3.

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Explanation:

The GCF of two non-zero integers, x(9) and also y(24), is the best positive integer m(3) that divides both x(9) and also y(24) without any kind of remainder.


Let's look at the various methods because that finding the GCF the 9 and also 24.

Long department MethodPrime factorization MethodListing common Factors

GCF of 9 and also 24 by lengthy Division

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GCF of 9 and 24 is the divisor that we acquire when the remainder i do not care 0 after doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of step 1 (9) by the remainder (6).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (3) is the GCF the 9 and also 24.

GCF that 9 and 24 by element Factorization

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Prime factorization of 9 and also 24 is (3 × 3) and also (2 × 2 × 2 × 3) respectively. As visible, 9 and 24 have actually only one typical prime factor i.e. 3. Hence, the GCF the 9 and 24 is 3.

GCF of 9 and 24 by Listing typical Factors

Factors the 9: 1, 3, 9Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

There are 2 usual factors the 9 and also 24, that space 1 and also 3. Therefore, the greatest common factor the 9 and 24 is 3.

☛ additionally Check:


GCF of 9 and 24 Examples


Example 1: find the biggest number that divides 9 and 24 exactly.

Solution:

The best number the divides 9 and 24 precisely is your greatest typical factor, i.e. GCF of 9 and 24.⇒ factors of 9 and 24:

Factors the 9 = 1, 3, 9Factors that 24 = 1, 2, 3, 4, 6, 8, 12, 24

Therefore, the GCF that 9 and also 24 is 3.


Example 2: The product of two numbers is 216. If your GCF is 3, what is their LCM?

Solution:

Given: GCF = 3 and also product of number = 216∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 216/3Therefore, the LCM is 72.


Example 3: discover the GCF the 9 and also 24, if your LCM is 72.

Solution:

∵ LCM × GCF = 9 × 24⇒ GCF(9, 24) = (9 × 24)/72 = 3Therefore, the greatest usual factor that 9 and also 24 is 3.


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FAQs ~ above GCF of 9 and also 24

What is the GCF that 9 and 24?

The GCF of 9 and also 24 is 3. To calculation the greatest typical factor (GCF) that 9 and also 24, we require to variable each number (factors the 9 = 1, 3, 9; determinants of 24 = 1, 2, 3, 4, 6, 8, 12, 24) and also choose the greatest factor that specifically divides both 9 and 24, i.e., 3.

If the GCF the 24 and 9 is 3, discover its LCM.

GCF(24, 9) × LCM(24, 9) = 24 × 9Since the GCF that 24 and also 9 = 3⇒ 3 × LCM(24, 9) = 216Therefore, LCM = 72☛ Greatest common Factor Calculator

How to find the GCF the 9 and 24 by element Factorization?

To discover the GCF that 9 and also 24, us will discover the element factorization the the offered numbers, i.e. 9 = 3 × 3; 24 = 2 × 2 × 2 × 3.⇒ since 3 is the only typical prime aspect of 9 and also 24. Hence, GCF (9, 24) = 3.☛ prime Numbers

What is the Relation in between LCM and also GCF the 9, 24?

The following equation can be supplied to express the relation between LCM (Least typical Multiple) and also GCF the 9 and also 24, i.e. GCF × LCM = 9 × 24.

What space the methods to uncover GCF the 9 and also 24?

There room three typically used techniques to discover the GCF that 9 and also 24.

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By prime FactorizationBy long DivisionBy Listing typical Factors

How to uncover the GCF of 9 and also 24 through Long department Method?

To find the GCF the 9, 24 making use of long department method, 24 is split by 9. The matching divisor (3) as soon as remainder equates to 0 is taken as GCF.