GCF of 51 and also 85 is the largest possible number that divides 51 and also 85 specifically without any kind of remainder. The factors of 51 and 85 space 1, 3, 17, 51 and also 1, 5, 17, 85 respectively. There room 3 frequently used techniques to find the GCF the 51 and also 85 - long division, Euclidean algorithm, and also prime factorization.

You are watching: What is the greatest common factor of 51 and 85

1.GCF of 51 and also 85
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF of 51 and also 85 is 17.

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Explanation:

The GCF of two non-zero integers, x(51) and also y(85), is the best positive integer m(17) that divides both x(51) and also y(85) without any remainder.


Let's look in ~ the various methods for finding the GCF the 51 and also 85.

Long department MethodPrime administrate MethodListing common Factors

GCF that 51 and 85 by long Division

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GCF that 51 and 85 is the divisor that we gain when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of action 1 (51) by the remainder (34).Step 3: Repeat this process until the remainder = 0.

The matching divisor (17) is the GCF of 51 and also 85.

GCF the 51 and 85 by prime Factorization

Prime administrate of 51 and also 85 is (3 × 17) and also (5 × 17) respectively. Together visible, 51 and 85 have actually only one usual prime aspect i.e. 17. Hence, the GCF that 51 and 85 is 17.

GCF of 51 and also 85 by Listing typical Factors

Factors of 51: 1, 3, 17, 51Factors the 85: 1, 5, 17, 85

There space 2 typical factors that 51 and 85, that space 1 and also 17. Therefore, the greatest usual factor that 51 and also 85 is 17.

☛ additionally Check:


GCF the 51 and 85 Examples


Example 1: The product of 2 numbers is 4335. If their GCF is 17, what is their LCM?

Solution:

Given: GCF = 17 and also product of numbers = 4335∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 4335/17Therefore, the LCM is 255.


Example 2: discover the GCF that 51 and 85, if their LCM is 255.

Solution:

∵ LCM × GCF = 51 × 85⇒ GCF(51, 85) = (51 × 85)/255 = 17Therefore, the greatest usual factor that 51 and 85 is 17.


Example 3: uncover the greatest number the divides 51 and 85 exactly.

Solution:

The best number the divides 51 and 85 specifically is your greatest usual factor, i.e. GCF the 51 and also 85.⇒ determinants of 51 and also 85:

Factors that 51 = 1, 3, 17, 51Factors the 85 = 1, 5, 17, 85

Therefore, the GCF the 51 and also 85 is 17.


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FAQs ~ above GCF the 51 and also 85

What is the GCF the 51 and also 85?

The GCF the 51 and also 85 is 17. To calculate the GCF (Greatest usual Factor) that 51 and also 85, we need to variable each number (factors the 51 = 1, 3, 17, 51; components of 85 = 1, 5, 17, 85) and choose the greatest variable that specifically divides both 51 and also 85, i.e., 17.

If the GCF of 85 and also 51 is 17, find its LCM.

GCF(85, 51) × LCM(85, 51) = 85 × 51Since the GCF the 85 and also 51 = 17⇒ 17 × LCM(85, 51) = 4335Therefore, LCM = 255☛ GCF Calculator

What room the approaches to find GCF of 51 and also 85?

There are three frequently used methods to uncover the GCF that 51 and 85.

By element FactorizationBy lengthy DivisionBy Euclidean Algorithm

How to discover the GCF that 51 and also 85 by Long division Method?

To uncover the GCF the 51, 85 utilizing long division method, 85 is split by 51. The corresponding divisor (17) as soon as remainder equals 0 is taken together GCF.

See more: How Many Electrons Does Neon Have In Its Outer Shell, Electron Configuration For Neon (Ne)

How to discover the GCF that 51 and also 85 by prime Factorization?

To find the GCF of 51 and also 85, we will uncover the prime factorization of the given numbers, i.e. 51 = 3 × 17; 85 = 5 × 17.⇒ since 17 is the only usual prime aspect of 51 and 85. Hence, GCF (51, 85) = 17.☛ prime Number

What is the Relation between LCM and also GCF the 51, 85?

The adhering to equation have the right to be provided to refer the relation in between Least typical Multiple and GCF that 51 and 85, i.e. GCF × LCM = 51 × 85.