GCF that 8 and 12 is the largest feasible number the divides 8 and 12 exactly without any kind of remainder. The components of 8 and 12 room 1, 2, 4, 8 and 1, 2, 3, 4, 6, 12 respectively. There are 3 generally used approaches to discover the GCF of 8 and also 12 - lengthy division, element factorization, and also Euclidean algorithm.

You are watching: What is the gcf of 8

1.GCF of 8 and 12
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 8 and 12 is 4.

*

Explanation:

The GCF of 2 non-zero integers, x(8) and also y(12), is the biggest positive creature m(4) the divides both x(8) and also y(12) without any kind of remainder.


The approaches to uncover the GCF the 8 and 12 are defined below.

Listing typical FactorsPrime administrate MethodLong department Method

GCF that 8 and 12 through Listing typical Factors

*
Factors that 8: 1, 2, 4, 8Factors of 12: 1, 2, 3, 4, 6, 12

There space 3 usual factors of 8 and also 12, that room 1, 2, and 4. Therefore, the greatest common factor that 8 and 12 is 4.

GCF of 8 and 12 by element Factorization

*

Prime factorization of 8 and 12 is (2 × 2 × 2) and (2 × 2 × 3) respectively. Together visible, 8 and 12 have common prime factors. Hence, the GCF the 8 and 12 is 2 × 2 = 4.

GCF that 8 and 12 by lengthy Division

*

GCF of 8 and 12 is the divisor that we obtain when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: because the remainder ≠ 0, we will certainly divide the divisor of action 1 (8) by the remainder (4).Step 3: Repeat this procedure until the remainder = 0.

The corresponding divisor (4) is the GCF of 8 and also 12.

☛ also Check:


GCF the 8 and also 12 Examples


Example 1: The product of two numbers is 96. If your GCF is 4, what is their LCM?

Solution:

Given: GCF = 4 and also product of number = 96∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 96/4Therefore, the LCM is 24.


Example 2: find the GCF of 8 and 12, if your LCM is 24.

Solution:

∵ LCM × GCF = 8 × 12⇒ GCF(8, 12) = (8 × 12)/24 = 4Therefore, the greatest common factor the 8 and also 12 is 4.


Example 3: For two numbers, GCF = 4 and LCM = 24. If one number is 8, uncover the other number.

Solution:

Given: GCF (y, 8) = 4 and LCM (y, 8) = 24∵ GCF × LCM = 8 × (y)⇒ y = (GCF × LCM)/8⇒ y = (4 × 24)/8⇒ y = 12Therefore, the other number is 12.


Show solution >

go to slidego come slidego to slide


*


Ready to check out the world through math’s eyes?
Math is at the main point of everything we do. Enjoy solving real-world math troubles in live classes and become an expert at everything.

Book a free Trial Class


FAQs on GCF that 8 and also 12

What is the GCF the 8 and 12?

The GCF the 8 and also 12 is 4. To calculate the GCF that 8 and also 12, we require to variable each number (factors the 8 = 1, 2, 4, 8; factors of 12 = 1, 2, 3, 4, 6, 12) and also choose the greatest variable that exactly divides both 8 and also 12, i.e., 4.

What is the Relation between LCM and also GCF that 8, 12?

The adhering to equation deserve to be supplied to refer the relation between LCM and also GCF of 8 and also 12, i.e. GCF × LCM = 8 × 12.

How to find the GCF of 8 and 12 by Long division Method?

To uncover the GCF of 8, 12 making use of long division method, 12 is split by 8. The equivalent divisor (4) when remainder equates to 0 is taken together GCF.

What are the methods to uncover GCF the 8 and 12?

There are three frequently used approaches to discover the GCF the 8 and 12.

See more: From Narrative Of The Life Of Frederick Douglass Answers, Study Guide Answer Key

By long DivisionBy prime FactorizationBy Euclidean Algorithm

If the GCF of 12 and 8 is 4, discover its LCM.

GCF(12, 8) × LCM(12, 8) = 12 × 8Since the GCF that 12 and also 8 = 4⇒ 4 × LCM(12, 8) = 96Therefore, LCM = 24☛ GCF Calculator

How to find the GCF of 8 and also 12 by element Factorization?

To uncover the GCF of 8 and 12, we will find the prime factorization of the provided numbers, i.e. 8 = 2 × 2 × 2; 12 = 2 × 2 × 3.⇒ due to the fact that 2, 2 are common terms in the prime factorization the 8 and also 12. Hence, GCF(8, 12) = 2 × 2 = 4☛ What is a prime Number?