GCF the 27 and also 45 is the largest possible number the divides 27 and also 45 precisely without any kind of remainder. The components of 27 and 45 space 1, 3, 9, 27 and also 1, 3, 5, 9, 15, 45 respectively. There are 3 frequently used techniques to discover the GCF that 27 and 45 - lengthy division, prime factorization, and Euclidean algorithm.

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1.GCF of 27 and also 45
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 27 and 45 is 9.

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Explanation:

The GCF of 2 non-zero integers, x(27) and also y(45), is the greatest positive creature m(9) the divides both x(27) and also y(45) without any type of remainder.


Let's look at the different methods for finding the GCF the 27 and also 45.

Long department MethodPrime administer MethodListing usual Factors

GCF that 27 and 45 by lengthy Division

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GCF of 27 and 45 is the divisor that we obtain when the remainder i do not care 0 after ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of step 1 (27) by the remainder (18).Step 3: Repeat this process until the remainder = 0.

The matching divisor (9) is the GCF that 27 and 45.

GCF of 27 and also 45 by element Factorization

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Prime administer of 27 and also 45 is (3 × 3 × 3) and (3 × 3 × 5) respectively. Together visible, 27 and also 45 have common prime factors. Hence, the GCF the 27 and 45 is 3 × 3 = 9.

GCF of 27 and also 45 by Listing common Factors

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

There space 3 typical factors of 27 and also 45, that are 1, 3, and also 9. Therefore, the greatest typical factor that 27 and also 45 is 9.

☛ likewise Check:


GCF that 27 and 45 Examples


Example 1: For 2 numbers, GCF = 9 and LCM = 135. If one number is 45, discover the various other number.

Solution:

Given: GCF (x, 45) = 9 and LCM (x, 45) = 135∵ GCF × LCM = 45 × (x)⇒ x = (GCF × LCM)/45⇒ x = (9 × 135)/45⇒ x = 27Therefore, the various other number is 27.


Example 2: find the biggest number the divides 27 and 45 exactly.

Solution:

The best number the divides 27 and 45 exactly is their greatest usual factor, i.e. GCF that 27 and also 45.⇒ determinants of 27 and also 45:

Factors the 27 = 1, 3, 9, 27Factors that 45 = 1, 3, 5, 9, 15, 45

Therefore, the GCF that 27 and also 45 is 9.


Example 3: find the GCF of 27 and 45, if their LCM is 135.

Solution:

∵ LCM × GCF = 27 × 45⇒ GCF(27, 45) = (27 × 45)/135 = 9Therefore, the greatest common factor the 27 and 45 is 9.


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FAQs ~ above GCF that 27 and also 45

What is the GCF the 27 and also 45?

The GCF that 27 and also 45 is 9. To calculation the GCF (Greatest usual Factor) that 27 and also 45, we require to variable each number (factors of 27 = 1, 3, 9, 27; factors of 45 = 1, 3, 5, 9, 15, 45) and also choose the greatest factor that exactly divides both 27 and 45, i.e., 9.

If the GCF the 45 and 27 is 9, find its LCM.

GCF(45, 27) × LCM(45, 27) = 45 × 27Since the GCF of 45 and 27 = 9⇒ 9 × LCM(45, 27) = 1215Therefore, LCM = 135☛ GCF Calculator

How to uncover the GCF the 27 and also 45 by prime Factorization?

To find the GCF that 27 and also 45, us will discover the element factorization that the provided numbers, i.e. 27 = 3 × 3 × 3; 45 = 3 × 3 × 5.⇒ due to the fact that 3, 3 are usual terms in the prime factorization the 27 and 45. Hence, GCF(27, 45) = 3 × 3 = 9☛ What is a element Number?

What are the techniques to discover GCF the 27 and 45?

There space three frequently used methods to find the GCF of 27 and also 45.

By Listing usual FactorsBy prime FactorizationBy lengthy Division

How to uncover the GCF of 27 and also 45 by Long division Method?

To uncover the GCF that 27, 45 making use of long division method, 45 is split by 27. The equivalent divisor (9) when remainder equals 0 is taken together GCF.

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What is the Relation between LCM and GCF that 27, 45?

The complying with equation have the right to be provided to refer the relation between Least typical Multiple and also GCF that 27 and also 45, i.e. GCF × LCM = 27 × 45.