GCF of 27 and also 63 is the largest feasible number that divides 27 and 63 specifically without any type of remainder. The factors of 27 and 63 are 1, 3, 9, 27 and also 1, 3, 7, 9, 21, 63 respectively. There are 3 frequently used approaches to uncover the GCF that 27 and 63 - Euclidean algorithm, lengthy division, and also prime factorization.

You are watching: Greatest common factor of 27 and 63

1.GCF of 27 and also 63
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 27 and 63 is 9.

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Explanation:

The GCF of two non-zero integers, x(27) and y(63), is the biggest positive creature m(9) the divides both x(27) and y(63) without any kind of remainder.


Let's look at the different methods for finding the GCF the 27 and also 63.

Prime administer MethodListing typical FactorsLong division Method

GCF that 27 and 63 by element Factorization

Prime factorization of 27 and 63 is (3 × 3 × 3) and also (3 × 3 × 7) respectively. Together visible, 27 and also 63 have typical prime factors. Hence, the GCF the 27 and 63 is 3 × 3 = 9.

GCF the 27 and 63 by Listing typical Factors

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Factors the 27: 1, 3, 9, 27Factors that 63: 1, 3, 7, 9, 21, 63

There space 3 usual factors the 27 and 63, that room 1, 3, and 9. Therefore, the greatest typical factor that 27 and also 63 is 9.

GCF that 27 and 63 by long Division

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GCF of 27 and 63 is the divisor that we gain when the remainder i do not care 0 ~ doing long division repeatedly.

Step 2: because the remainder ≠ 0, we will certainly divide the divisor of action 1 (27) through the remainder (9).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (9) is the GCF that 27 and also 63.

☛ likewise Check:


GCF of 27 and also 63 Examples


Example 1: find the best number that divides 27 and also 63 exactly.

Solution:

The best number that divides 27 and also 63 exactly is your greatest usual factor, i.e. GCF the 27 and 63.⇒ factors of 27 and also 63:

Factors the 27 = 1, 3, 9, 27Factors the 63 = 1, 3, 7, 9, 21, 63

Therefore, the GCF the 27 and 63 is 9.


Example 2: The product of 2 numbers is 1701. If your GCF is 9, what is their LCM?

Solution:

Given: GCF = 9 and also product of numbers = 1701∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 1701/9Therefore, the LCM is 189.


Example 3: For two numbers, GCF = 9 and also LCM = 189. If one number is 27, discover the other number.

Solution:

Given: GCF (y, 27) = 9 and LCM (y, 27) = 189∵ GCF × LCM = 27 × (y)⇒ y = (GCF × LCM)/27⇒ y = (9 × 189)/27⇒ y = 63Therefore, the various other number is 63.


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FAQs on GCF of 27 and 63

What is the GCF of 27 and also 63?

The GCF that 27 and also 63 is 9. To calculate the greatest usual factor (GCF) the 27 and 63, we need to variable each number (factors of 27 = 1, 3, 9, 27; factors of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest factor that precisely divides both 27 and also 63, i.e., 9.

How to uncover the GCF of 27 and also 63 by Long division Method?

To discover the GCF the 27, 63 using long department method, 63 is divided by 27. The equivalent divisor (9) as soon as remainder equates to 0 is taken as GCF.

How to discover the GCF the 27 and 63 by prime Factorization?

To uncover the GCF that 27 and also 63, us will uncover the prime factorization of the offered numbers, i.e. 27 = 3 × 3 × 3; 63 = 3 × 3 × 7.⇒ due to the fact that 3, 3 are usual terms in the prime factorization of 27 and 63. Hence, GCF(27, 63) = 3 × 3 = 9☛ What is a prime Number?

If the GCF that 63 and also 27 is 9, find its LCM.

GCF(63, 27) × LCM(63, 27) = 63 × 27Since the GCF of 63 and 27 = 9⇒ 9 × LCM(63, 27) = 1701Therefore, LCM = 189☛ GCF Calculator

What is the Relation in between LCM and GCF that 27, 63?

The following equation have the right to be provided to to express the relation in between LCM and also GCF the 27 and also 63, i.e. GCF × LCM = 27 × 63.

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What space the approaches to uncover GCF the 27 and also 63?

There are three commonly used approaches to uncover the GCF the 27 and 63.