GCF of 39 and also 52 is the largest possible number the divides 39 and 52 precisely without any kind of remainder. The determinants of 39 and 52 room 1, 3, 13, 39 and also 1, 2, 4, 13, 26, 52 respectively. There space 3 commonly used approaches to find the GCF the 39 and also 52 - lengthy division, Euclidean algorithm, and also prime factorization.

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1.GCF of 39 and also 52
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 39 and also 52 is 13.

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Explanation:

The GCF of 2 non-zero integers, x(39) and also y(52), is the biggest positive essence m(13) the divides both x(39) and y(52) without any type of remainder.


Let's look at the different methods for finding the GCF the 39 and also 52.

Listing common FactorsLong department MethodPrime factorization Method

GCF of 39 and also 52 by Listing usual Factors

Factors of 39: 1, 3, 13, 39Factors that 52: 1, 2, 4, 13, 26, 52

There are 2 typical factors that 39 and 52, that are 1 and also 13. Therefore, the greatest common factor of 39 and also 52 is 13.

GCF the 39 and also 52 by lengthy Division

GCF of 39 and 52 is the divisor that we obtain when the remainder i do not care 0 after ~ doing long department repeatedly.

Step 2: because the remainder ≠ 0, we will divide the divisor of step 1 (39) by the remainder (13).Step 3: Repeat this process until the remainder = 0.

The matching divisor (13) is the GCF of 39 and 52.

GCF that 39 and 52 by element Factorization

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Prime administrate of 39 and also 52 is (3 × 13) and also (2 × 2 × 13) respectively. Together visible, 39 and 52 have actually only one usual prime element i.e. 13. Hence, the GCF of 39 and 52 is 13.

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GCF the 39 and also 52 Examples


Example 1: find the biggest number the divides 39 and also 52 exactly.

Solution:

The biggest number that divides 39 and 52 specifically is their greatest common factor, i.e. GCF of 39 and 52.⇒ components of 39 and also 52:

Factors that 39 = 1, 3, 13, 39Factors the 52 = 1, 2, 4, 13, 26, 52

Therefore, the GCF the 39 and 52 is 13.


Example 2: For 2 numbers, GCF = 13 and also LCM = 156. If one number is 39, find the other number.

Solution:

Given: GCF (y, 39) = 13 and LCM (y, 39) = 156∵ GCF × LCM = 39 × (y)⇒ y = (GCF × LCM)/39⇒ y = (13 × 156)/39⇒ y = 52Therefore, the other number is 52.


Example 3: The product of 2 numbers is 2028. If their GCF is 13, what is your LCM?

Solution:

Given: GCF = 13 and also product of numbers = 2028∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 2028/13Therefore, the LCM is 156.


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FAQs ~ above GCF the 39 and 52

What is the GCF that 39 and also 52?

The GCF the 39 and also 52 is 13. To calculation the greatest usual factor (GCF) of 39 and 52, we require to variable each number (factors of 39 = 1, 3, 13, 39; factors of 52 = 1, 2, 4, 13, 26, 52) and also choose the greatest factor that specifically divides both 39 and also 52, i.e., 13.

How to discover the GCF that 39 and also 52 by Long division Method?

To find the GCF the 39, 52 utilizing long division method, 52 is divided by 39. The equivalent divisor (13) as soon as remainder amounts to 0 is taken as GCF.

What are the techniques to discover GCF the 39 and 52?

There are three frequently used approaches to uncover the GCF that 39 and also 52.

By Euclidean AlgorithmBy lengthy DivisionBy prime Factorization

What is the Relation in between LCM and GCF the 39, 52?

The complying with equation have the right to be used to express the relation between LCM (Least common Multiple) and GCF that 39 and also 52, i.e. GCF × LCM = 39 × 52.

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How to find the GCF of 39 and also 52 by prime Factorization?

To find the GCF of 39 and also 52, us will discover the element factorization the the given numbers, i.e. 39 = 3 × 13; 52 = 2 × 2 × 13.⇒ since 13 is the only usual prime factor of 39 and also 52. Hence, GCF (39, 52) = 13.☛ What is a prime Number?

If the GCF of 52 and 39 is 13, discover its LCM.

GCF(52, 39) × LCM(52, 39) = 52 × 39Since the GCF of 52 and also 39 = 13⇒ 13 × LCM(52, 39) = 2028Therefore, LCM = 156☛ GCF Calculator