GCF that 45 and also 60 is the largest feasible number the divides 45 and also 60 exactly without any type of remainder. The determinants of 45 and 60 are 1, 3, 5, 9, 15, 45 and 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 respectively. There space 3 commonly used methods to find the GCF that 45 and 60 - Euclidean algorithm, lengthy division, and prime factorization.

You are watching: What are the common factors of 45 and 60

1.GCF the 45 and also 60
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF of 45 and also 60 is 15.

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Explanation:

The GCF of 2 non-zero integers, x(45) and also y(60), is the biggest positive creature m(15) the divides both x(45) and y(60) without any kind of remainder.


The techniques to uncover the GCF the 45 and also 60 are explained below.

Long division MethodPrime administrate MethodListing usual Factors

GCF of 45 and 60 by lengthy Division

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GCF the 45 and also 60 is the divisor the we gain when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: because the remainder ≠ 0, we will certainly divide the divisor of action 1 (45) by the remainder (15).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (15) is the GCF of 45 and 60.

GCF of 45 and also 60 by prime Factorization

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Prime administrate of 45 and also 60 is (3 × 3 × 5) and (2 × 2 × 3 × 5) respectively. Together visible, 45 and 60 have typical prime factors. Hence, the GCF the 45 and also 60 is 3 × 5 = 15.

GCF that 45 and 60 by Listing usual Factors

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Factors the 45: 1, 3, 5, 9, 15, 45Factors that 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

There space 4 typical factors the 45 and also 60, that space 1, 3, 5, and also 15. Therefore, the greatest usual factor that 45 and 60 is 15.

☛ additionally Check:


GCF that 45 and 60 Examples


Example 1: The product of two numbers is 2700. If their GCF is 15, what is your LCM?

Solution:

Given: GCF = 15 and also product of numbers = 2700∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 2700/15Therefore, the LCM is 180.


Example 2: For two numbers, GCF = 15 and also LCM = 180. If one number is 45, discover the other number.

Solution:

Given: GCF (x, 45) = 15 and LCM (x, 45) = 180∵ GCF × LCM = 45 × (x)⇒ x = (GCF × LCM)/45⇒ x = (15 × 180)/45⇒ x = 60Therefore, the various other number is 60.


Example 3: discover the biggest number the divides 45 and also 60 exactly.

Solution:

The best number that divides 45 and also 60 exactly is your greatest common factor, i.e. GCF that 45 and also 60.⇒ factors of 45 and also 60:

Factors the 45 = 1, 3, 5, 9, 15, 45Factors the 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Therefore, the GCF that 45 and 60 is 15.


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FAQs ~ above GCF of 45 and also 60

What is the GCF the 45 and also 60?

The GCF of 45 and also 60 is 15. To calculation the GCF (Greatest usual Factor) that 45 and 60, we need to variable each number (factors that 45 = 1, 3, 5, 9, 15, 45; components of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60) and also choose the greatest element that exactly divides both 45 and also 60, i.e., 15.

How to find the GCF that 45 and 60 by element Factorization?

To discover the GCF the 45 and 60, us will find the element factorization of the provided numbers, i.e. 45 = 3 × 3 × 5; 60 = 2 × 2 × 3 × 5.⇒ since 3, 5 are usual terms in the element factorization the 45 and also 60. Hence, GCF(45, 60) = 3 × 5 = 15☛ element Number

What is the Relation between LCM and GCF of 45, 60?

The following equation can be offered to to express the relation in between Least typical Multiple and also GCF the 45 and also 60, i.e. GCF × LCM = 45 × 60.

If the GCF of 60 and 45 is 15, uncover its LCM.

GCF(60, 45) × LCM(60, 45) = 60 × 45Since the GCF of 60 and 45 = 15⇒ 15 × LCM(60, 45) = 2700Therefore, LCM = 180☛ Greatest usual Factor Calculator

How to uncover the GCF of 45 and also 60 by Long division Method?

To find the GCF the 45, 60 making use of long department method, 60 is divided by 45. The equivalent divisor (15) when remainder equates to 0 is taken as GCF.

See more: What Is The Square Root Of 140 ? Information And Calculator Information And Calculator

What room the methods to discover GCF that 45 and 60?

There space three frequently used techniques to uncover the GCF the 45 and 60.