GCF the 30 and also 50 is the largest possible number the divides 30 and 50 precisely without any type of remainder. The determinants of 30 and 50 room 1, 2, 3, 5, 6, 10, 15, 30 and 1, 2, 5, 10, 25, 50 respectively. There room 3 typically used methods to uncover the GCF that 30 and 50 - element factorization, long division, and Euclidean algorithm.

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1.GCF the 30 and also 50
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 30 and 50 is 10.

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Explanation:

The GCF of two non-zero integers, x(30) and y(50), is the greatest positive creature m(10) that divides both x(30) and also y(50) without any remainder.


Let's look in ~ the various methods for finding the GCF of 30 and also 50.

Prime administrate MethodLong division MethodListing typical Factors

GCF the 30 and 50 by prime Factorization

Prime factorization of 30 and 50 is (2 × 3 × 5) and also (2 × 5 × 5) respectively. Together visible, 30 and 50 have typical prime factors. Hence, the GCF that 30 and also 50 is 2 × 5 = 10.

GCF of 30 and also 50 by long Division

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GCF the 30 and also 50 is the divisor the we gain when the remainder becomes 0 after doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of action 1 (30) by the remainder (20).Step 3: Repeat this process until the remainder = 0.

The matching divisor (10) is the GCF that 30 and also 50.

GCF the 30 and also 50 by Listing common Factors

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30Factors of 50: 1, 2, 5, 10, 25, 50

There are 4 typical factors that 30 and 50, that space 1, 2, 10, and also 5. Therefore, the greatest usual factor of 30 and 50 is 10.

☛ additionally Check:


GCF that 30 and also 50 Examples


Example 1: For two numbers, GCF = 10 and also LCM = 150. If one number is 50, find the other number.

Solution:

Given: GCF (z, 50) = 10 and also LCM (z, 50) = 150∵ GCF × LCM = 50 × (z)⇒ z = (GCF × LCM)/50⇒ z = (10 × 150)/50⇒ z = 30Therefore, the other number is 30.


Example 2: discover the GCF of 30 and also 50, if your LCM is 150.

Solution:

∵ LCM × GCF = 30 × 50⇒ GCF(30, 50) = (30 × 50)/150 = 10Therefore, the greatest common factor that 30 and 50 is 10.


Example 3: uncover the best number that divides 30 and also 50 exactly.

Solution:

The best number the divides 30 and 50 precisely is your greatest typical factor, i.e. GCF of 30 and 50.⇒ components of 30 and also 50:

Factors the 30 = 1, 2, 3, 5, 6, 10, 15, 30Factors of 50 = 1, 2, 5, 10, 25, 50

Therefore, the GCF the 30 and also 50 is 10.


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FAQs top top GCF the 30 and 50

What is the GCF the 30 and 50?

The GCF the 30 and 50 is 10. To calculate the GCF of 30 and also 50, we need to factor each number (factors that 30 = 1, 2, 3, 5, 6, 10, 15, 30; factors of 50 = 1, 2, 5, 10, 25, 50) and choose the greatest variable that precisely divides both 30 and also 50, i.e., 10.

How to find the GCF that 30 and also 50 by prime Factorization?

To discover the GCF that 30 and also 50, we will find the prime factorization the the provided numbers, i.e. 30 = 2 × 3 × 5; 50 = 2 × 5 × 5.⇒ because 2, 5 are typical terms in the element factorization the 30 and also 50. Hence, GCF(30, 50) = 2 × 5 = 10☛ What is a element Number?

If the GCF that 50 and also 30 is 10, find its LCM.

GCF(50, 30) × LCM(50, 30) = 50 × 30Since the GCF the 50 and 30 = 10⇒ 10 × LCM(50, 30) = 1500Therefore, LCM = 150☛ Greatest common Factor Calculator

What room the techniques to discover GCF that 30 and 50?

There are three typically used approaches to discover the GCF that 30 and also 50.

By element FactorizationBy Listing common FactorsBy long Division

How to find the GCF the 30 and 50 through Long division Method?

To discover the GCF the 30, 50 using long department method, 50 is divided by 30. The equivalent divisor (10) when remainder amounts to 0 is taken as GCF.

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What is the Relation in between LCM and GCF the 30, 50?

The adhering to equation can be offered to refer the relation between Least usual Multiple and also GCF of 30 and 50, i.e. GCF × LCM = 30 × 50.