GCF the 45 and also 90 is the largest feasible number that divides 45 and also 90 specifically without any kind of remainder. The factors of 45 and also 90 space 1, 3, 5, 9, 15, 45 and 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 respectively. There are 3 typically used techniques to discover the GCF the 45 and 90 - lengthy division, prime factorization, and also Euclidean algorithm.

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1.GCF that 45 and also 90
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 45 and also 90 is 45.

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Explanation:

The GCF of 2 non-zero integers, x(45) and y(90), is the biggest positive integer m(45) the divides both x(45) and also y(90) without any type of remainder.


Let's look at the different methods because that finding the GCF that 45 and 90.

Listing common FactorsPrime factorization MethodLong division Method

GCF of 45 and also 90 by Listing typical Factors

Factors that 45: 1, 3, 5, 9, 15, 45Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

There are 6 usual factors the 45 and also 90, that room 1, 3, 5, 9, 45, and also 15. Therefore, the greatest usual factor the 45 and 90 is 45.

GCF that 45 and also 90 by prime Factorization

Prime administrate of 45 and also 90 is (3 × 3 × 5) and also (2 × 3 × 3 × 5) respectively. As visible, 45 and 90 have common prime factors. Hence, the GCF that 45 and also 90 is 3 × 3 × 5 = 45.

GCF the 45 and 90 by long Division

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GCF the 45 and also 90 is the divisor the we acquire when the remainder becomes 0 ~ doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (45) is the GCF that 45 and 90.

The equivalent divisor (45) is the GCF the 45 and 90.

☛ likewise Check:


GCF of 45 and 90 Examples


Example 1: For two numbers, GCF = 45 and LCM = 90. If one number is 45, find the other number.

Solution:

Given: GCF (z, 45) = 45 and LCM (z, 45) = 90∵ GCF × LCM = 45 × (z)⇒ z = (GCF × LCM)/45⇒ z = (45 × 90)/45⇒ z = 90Therefore, the various other number is 90.


Example 2: uncover the greatest number that divides 45 and 90 exactly.

Solution:

The biggest number that divides 45 and also 90 exactly is their greatest common factor, i.e. GCF the 45 and 90.⇒ factors of 45 and also 90:

Factors the 45 = 1, 3, 5, 9, 15, 45Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Therefore, the GCF that 45 and 90 is 45.


Example 3: find the GCF the 45 and also 90, if your LCM is 90.

Solution:

∵ LCM × GCF = 45 × 90⇒ GCF(45, 90) = (45 × 90)/90 = 45Therefore, the greatest typical factor that 45 and also 90 is 45.


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FAQs ~ above GCF of 45 and also 90

What is the GCF that 45 and also 90?

The GCF that 45 and 90 is 45. To calculate the greatest usual factor the 45 and 90, we require to element each number (factors the 45 = 1, 3, 5, 9, 15, 45; components of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90) and also choose the greatest variable that exactly divides both 45 and 90, i.e., 45.

If the GCF that 90 and 45 is 45, uncover its LCM.

GCF(90, 45) × LCM(90, 45) = 90 × 45Since the GCF that 90 and also 45 = 45⇒ 45 × LCM(90, 45) = 4050Therefore, LCM = 90☛ GCF Calculator

How to uncover the GCF the 45 and also 90 by Long department Method?

To uncover the GCF that 45, 90 making use of long division method, 90 is split by 45. The matching divisor (45) once remainder equates to 0 is taken as GCF.

What are the approaches to discover GCF the 45 and also 90?

There room three generally used approaches to discover the GCF that 45 and also 90.

See more: Convert 240 Ounces Equals How Many Pounds, Convert 240 Ounces To Pounds

By lengthy DivisionBy prime FactorizationBy Euclidean Algorithm

How to find the GCF that 45 and 90 by prime Factorization?

To discover the GCF that 45 and 90, us will uncover the element factorization of the offered numbers, i.e. 45 = 3 × 3 × 5; 90 = 2 × 3 × 3 × 5.⇒ since 3, 3, 5 are typical terms in the element factorization that 45 and also 90. Hence, GCF(45, 90) = 3 × 3 × 5 = 45☛ element Number

What is the Relation in between LCM and GCF that 45, 90?

The complying with equation deserve to be supplied to to express the relation between Least usual Multiple and GCF that 45 and also 90, i.e. GCF × LCM = 45 × 90.