GCF that 45 and 81 is the largest possible number that divides 45 and 81 specifically without any kind of remainder. The determinants of 45 and also 81 are 1, 3, 5, 9, 15, 45 and also 1, 3, 9, 27, 81 respectively. There room 3 commonly used approaches to uncover the GCF that 45 and 81 - Euclidean algorithm, element factorization, and also long division.

You are watching: What is the greatest common factor of 45 and 81

1.GCF the 45 and also 81
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF that 45 and 81 is 9.

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Explanation:

The GCF of two non-zero integers, x(45) and y(81), is the biggest positive creature m(9) that divides both x(45) and y(81) without any kind of remainder.


The approaches to uncover the GCF the 45 and 81 are defined below.

Prime administrate MethodListing usual FactorsLong department Method

GCF that 45 and 81 by element Factorization

Prime administer of 45 and also 81 is (3 × 3 × 5) and (3 × 3 × 3 × 3) respectively. Together visible, 45 and 81 have common prime factors. Hence, the GCF of 45 and also 81 is 3 × 3 = 9.

GCF the 45 and also 81 through Listing common Factors

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Factors that 45: 1, 3, 5, 9, 15, 45Factors that 81: 1, 3, 9, 27, 81

There are 3 typical factors of 45 and 81, that room 1, 3, and also 9. Therefore, the greatest usual factor that 45 and 81 is 9.

GCF that 45 and also 81 by lengthy Division

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GCF of 45 and 81 is the divisor that we get when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will certainly divide the divisor of step 1 (45) through the remainder (36).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (9) is the GCF that 45 and also 81.

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GCF of 45 and 81 Examples


Example 1: uncover the greatest number the divides 45 and also 81 exactly.

Solution:

The greatest number that divides 45 and 81 exactly is their greatest usual factor, i.e. GCF the 45 and also 81.⇒ factors of 45 and also 81:

Factors that 45 = 1, 3, 5, 9, 15, 45Factors of 81 = 1, 3, 9, 27, 81

Therefore, the GCF the 45 and 81 is 9.


Example 2: discover the GCF that 45 and 81, if their LCM is 405.

Solution:

∵ LCM × GCF = 45 × 81⇒ GCF(45, 81) = (45 × 81)/405 = 9Therefore, the greatest usual factor the 45 and 81 is 9.


Example 3: The product of two numbers is 3645. If their GCF is 9, what is your LCM?

Solution:

Given: GCF = 9 and also product of numbers = 3645∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 3645/9Therefore, the LCM is 405.


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FAQs top top GCF that 45 and also 81

What is the GCF of 45 and also 81?

The GCF of 45 and 81 is 9. To calculate the GCF of 45 and 81, we require to aspect each number (factors that 45 = 1, 3, 5, 9, 15, 45; determinants of 81 = 1, 3, 9, 27, 81) and choose the greatest aspect that precisely divides both 45 and also 81, i.e., 9.

What are the approaches to find GCF the 45 and 81?

There are three commonly used techniques to discover the GCF of 45 and also 81.

By Euclidean AlgorithmBy prime FactorizationBy long Division

If the GCF of 81 and also 45 is 9, discover its LCM.

GCF(81, 45) × LCM(81, 45) = 81 × 45Since the GCF of 81 and 45 = 9⇒ 9 × LCM(81, 45) = 3645Therefore, LCM = 405☛ Greatest usual Factor Calculator

How to find the GCF the 45 and also 81 by Long department Method?

To uncover the GCF the 45, 81 using long division method, 81 is divided by 45. The matching divisor (9) once remainder equates to 0 is taken together GCF.

See more: I Look Forward To Work With You Or Looking Forward To Working With You?

How to find the GCF of 45 and 81 by prime Factorization?

To find the GCF of 45 and 81, we will discover the prime factorization that the given numbers, i.e. 45 = 3 × 3 × 5; 81 = 3 × 3 × 3 × 3.⇒ since 3, 3 are common terms in the element factorization that 45 and 81. Hence, GCF(45, 81) = 3 × 3 = 9☛ What is a prime Number?

What is the Relation in between LCM and GCF the 45, 81?

The adhering to equation can be supplied to to express the relation in between Least typical Multiple (LCM) and GCF that 45 and 81, i.e. GCF × LCM = 45 × 81.