GCF that 27 and 45 is the largest possible number the divides 27 and also 45 specifically without any kind of remainder. The determinants of 27 and also 45 space 1, 3, 9, 27 and also 1, 3, 5, 9, 15, 45 respectively. There room 3 typically used methods to discover the GCF that 27 and 45 - long division, prime factorization, and Euclidean algorithm.

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

Answer: GCF that 27 and also 45 is 9.

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Explanation:

The GCF of 2 non-zero integers, x(27) and y(45), is the best positive essence m(9) that divides both x(27) and y(45) without any kind of remainder.


Let's look at the various methods because that finding the GCF of 27 and 45.

Long division MethodPrime administer MethodListing common Factors

GCF the 27 and 45 by lengthy Division

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GCF that 27 and 45 is the divisor the we get when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of action 1 (27) by the remainder (18).Step 3: Repeat this procedure until the remainder = 0.

The corresponding divisor (9) is the GCF of 27 and also 45.

GCF the 27 and also 45 by element Factorization

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Prime administrate of 27 and also 45 is (3 × 3 × 3) and (3 × 3 × 5) respectively. As visible, 27 and 45 have typical prime factors. Hence, the GCF that 27 and also 45 is 3 × 3 = 9.

GCF of 27 and 45 by Listing usual Factors

Factors of 27: 1, 3, 9, 27Factors of 45: 1, 3, 5, 9, 15, 45

There are 3 usual factors the 27 and 45, that are 1, 3, and 9. Therefore, the greatest common factor that 27 and also 45 is 9.

☛ also Check:


GCF that 27 and also 45 Examples


Example 1: For two numbers, GCF = 9 and LCM = 135. If one number is 45, uncover the 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: uncover the biggest number that divides 27 and 45 exactly.

Solution:

The biggest number the divides 27 and 45 specifically is your greatest typical factor, i.e. GCF that 27 and 45.⇒ factors of 27 and 45:

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

Therefore, the GCF that 27 and 45 is 9.


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

Solution:

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


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FAQs top top GCF the 27 and also 45

What is the GCF the 27 and 45?

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

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

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

How to discover the GCF the 27 and 45 by element Factorization?

To discover the GCF that 27 and 45, we will uncover the element factorization of the given 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 also 45. Hence, GCF(27, 45) = 3 × 3 = 9☛ What is a element Number?

What space the methods to find GCF of 27 and 45?

There room three generally used techniques to discover the GCF that 27 and also 45.

By Listing usual FactorsBy element FactorizationBy long Division

How to uncover the GCF the 27 and 45 through Long division Method?

To uncover the GCF the 27, 45 using long department method, 45 is divided by 27. The equivalent divisor (9) as soon as remainder equates to 0 is taken as GCF.

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

The complying with equation can be offered to express the relation between Least common Multiple and GCF the 27 and 45, i.e. GCF × LCM = 27 × 45.