GCF of 45 and 63 is the largest feasible number that divides 45 and also 63 precisely without any type of remainder. The determinants of 45 and also 63 space 1, 3, 5, 9, 15, 45 and 1, 3, 7, 9, 21, 63 respectively. There space 3 typically used approaches to find the GCF that 45 and also 63 - Euclidean algorithm, lengthy division, and prime factorization.

You are watching: What are the common factors of 45 and 63

1.GCF the 45 and also 63
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF that 45 and also 63 is 9.

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Explanation:

The GCF of two non-zero integers, x(45) and y(63), is the biggest positive integer m(9) that divides both x(45) and also y(63) without any type of remainder.


The techniques to find the GCF of 45 and also 63 are explained below.

Long division MethodPrime factorization MethodListing usual Factors

GCF of 45 and 63 by lengthy Division

GCF of 45 and also 63 is the divisor the we acquire when the remainder becomes 0 after ~ doing long department repeatedly.

Step 2: because the remainder ≠ 0, we will certainly divide the divisor of action 1 (45) by the remainder (18).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (9) is the GCF that 45 and 63.

GCF the 45 and 63 by element Factorization

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Prime administer of 45 and also 63 is (3 × 3 × 5) and (3 × 3 × 7) respectively. Together visible, 45 and also 63 have usual prime factors. Hence, the GCF that 45 and also 63 is 3 × 3 = 9.

GCF of 45 and 63 through Listing usual Factors

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Factors the 45: 1, 3, 5, 9, 15, 45Factors the 63: 1, 3, 7, 9, 21, 63

There room 3 common factors of 45 and 63, that space 1, 3, and also 9. Therefore, the greatest typical factor the 45 and also 63 is 9.

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GCF the 45 and also 63 Examples


Example 1: uncover the GCF of 45 and also 63, if their LCM is 315.

Solution:

∵ LCM × GCF = 45 × 63⇒ GCF(45, 63) = (45 × 63)/315 = 9Therefore, the greatest typical factor of 45 and also 63 is 9.


Example 2: uncover the best number that divides 45 and also 63 exactly.

Solution:

The best number the divides 45 and also 63 exactly is their greatest usual factor, i.e. GCF that 45 and also 63.⇒ factors of 45 and 63:

Factors the 45 = 1, 3, 5, 9, 15, 45Factors the 63 = 1, 3, 7, 9, 21, 63

Therefore, the GCF that 45 and 63 is 9.


Example 3: The product of two numbers is 2835. If your GCF is 9, what is their LCM?

Solution:

Given: GCF = 9 and product of numbers = 2835∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 2835/9Therefore, the LCM is 315.


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FAQs ~ above GCF of 45 and also 63

What is the GCF that 45 and also 63?

The GCF the 45 and also 63 is 9. To calculation the greatest common factor the 45 and also 63, we need to aspect each number (factors of 45 = 1, 3, 5, 9, 15, 45; determinants of 63 = 1, 3, 7, 9, 21, 63) and choose the greatest element that specifically divides both 45 and also 63, i.e., 9.

How to uncover the GCF that 45 and also 63 by element Factorization?

To uncover the GCF of 45 and also 63, us will discover the prime factorization the the given numbers, i.e. 45 = 3 × 3 × 5; 63 = 3 × 3 × 7.⇒ because 3, 3 are usual terms in the element factorization the 45 and also 63. Hence, GCF(45, 63) = 3 × 3 = 9☛ element Number

How to find the GCF the 45 and 63 by Long division Method?

To uncover the GCF the 45, 63 utilizing long department method, 63 is divided by 45. The equivalent divisor (9) when remainder equals 0 is taken as GCF.

If the GCF the 63 and 45 is 9, find its LCM.

GCF(63, 45) × LCM(63, 45) = 63 × 45Since the GCF of 63 and also 45 = 9⇒ 9 × LCM(63, 45) = 2835Therefore, LCM = 315☛ GCF Calculator

What is the Relation between LCM and also GCF the 45, 63?

The adhering to equation have the right to be offered to refer the relation between Least usual Multiple and also GCF of 45 and 63, i.e. GCF × LCM = 45 × 63.

See more: Out Of Hf Hcl Hbr Hi Boiling Point, (A) Hf (B) Hcl (C) Hi (D) Hbr

What space the techniques to find GCF of 45 and also 63?

There are three typically used methods to discover the GCF the 45 and 63.