GCF of 16 and also 48 is the largest feasible number that divides 16 and 48 exactly without any kind of remainder. The factors of 16 and 48 space 1, 2, 4, 8, 16 and also 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There space 3 frequently used methods to find the GCF that 16 and 48 - lengthy division, Euclidean algorithm, and also prime factorization.

You are watching: What is the gcf of 16 and 48

1.GCF that 16 and also 48
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 16 and also 48 is 16.

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Explanation:

The GCF of 2 non-zero integers, x(16) and also y(48), is the greatest positive essence m(16) that divides both x(16) and also y(48) without any type of remainder.


Let's look at the various methods for finding the GCF the 16 and also 48.

Long department MethodListing usual FactorsPrime administrate Method

GCF the 16 and 48 by long Division

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GCF the 16 and also 48 is the divisor the we obtain when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (16) is the GCF that 16 and also 48.

The matching divisor (16) is the GCF of 16 and also 48.

GCF of 16 and 48 through Listing common Factors

Factors the 16: 1, 2, 4, 8, 16Factors that 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There are 5 common factors the 16 and also 48, that are 1, 2, 4, 8, and also 16. Therefore, the greatest typical factor of 16 and 48 is 16.

GCF that 16 and also 48 by prime Factorization

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Prime administrate of 16 and 48 is (2 × 2 × 2 × 2) and (2 × 2 × 2 × 2 × 3) respectively. Together visible, 16 and 48 have common prime factors. Hence, the GCF that 16 and also 48 is 2 × 2 × 2 × 2 = 16.

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GCF of 16 and 48 Examples


Example 1: uncover the biggest number that divides 16 and also 48 exactly.

Solution:

The biggest number that divides 16 and also 48 exactly is your greatest typical factor, i.e. GCF that 16 and 48.⇒ components of 16 and 48:

Factors that 16 = 1, 2, 4, 8, 16Factors that 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Therefore, the GCF of 16 and also 48 is 16.


Example 2: uncover the GCF of 16 and also 48, if your LCM is 48.

Solution:

∵ LCM × GCF = 16 × 48⇒ GCF(16, 48) = (16 × 48)/48 = 16Therefore, the greatest common factor the 16 and also 48 is 16.


Example 3: The product of 2 numbers is 768. If their GCF is 16, what is their LCM?

Solution:

Given: GCF = 16 and product of numbers = 768∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 768/16Therefore, the LCM is 48.


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FAQs on GCF the 16 and 48

What is the GCF of 16 and also 48?

The GCF that 16 and 48 is 16. To calculation the GCF the 16 and also 48, we need to aspect each number (factors of 16 = 1, 2, 4, 8, 16; components of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48) and also choose the greatest factor that exactly divides both 16 and also 48, i.e., 16.

How to discover the GCF that 16 and also 48 by Long division Method?

To find the GCF of 16, 48 making use of long division method, 48 is divided by 16. The matching divisor (16) as soon as remainder equals 0 is taken together GCF.

What is the Relation between LCM and also GCF the 16, 48?

The complying with equation deserve to be supplied to express the relation between LCM (Least usual Multiple) and also GCF that 16 and also 48, i.e. GCF × LCM = 16 × 48.

How to discover the GCF that 16 and 48 by prime Factorization?

To find the GCF of 16 and also 48, we will uncover the prime factorization the the offered numbers, i.e. 16 = 2 × 2 × 2 × 2; 48 = 2 × 2 × 2 × 2 × 3.⇒ because 2, 2, 2, 2 are common terms in the prime factorization that 16 and 48. Hence, GCF(16, 48) = 2 × 2 × 2 × 2 = 16☛ What is a element Number?

What are the techniques to find GCF that 16 and 48?

There are three commonly used approaches to uncover the GCF that 16 and 48.

See more: How Many Ounces In A Pitcher Of Water ? How Many Ounces Are In A Standard Pitcher Of Beer

By prime FactorizationBy Listing typical FactorsBy long Division

If the GCF of 48 and 16 is 16, uncover its LCM.

GCF(48, 16) × LCM(48, 16) = 48 × 16Since the GCF the 48 and 16 = 16⇒ 16 × LCM(48, 16) = 768Therefore, LCM = 48☛ GCF Calculator