GCF of 7 and also 9 is the largest possible number the divides 7 and also 9 precisely without any kind of remainder. The factors of 7 and 9 space 1, 7 and also 1, 3, 9 respectively. There are 3 frequently used methods to discover the GCF the 7 and 9 - Euclidean algorithm, element factorization, and long division.

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1.GCF of 7 and 9
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 7 and also 9 is 1.

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Explanation:

The GCF of two non-zero integers, x(7) and y(9), is the greatest positive essence m(1) that divides both x(7) and y(9) without any remainder.


The techniques to discover the GCF of 7 and also 9 are described below.

Prime administer MethodListing common FactorsLong division Method

GCF that 7 and also 9 by element Factorization

Prime factorization of 7 and also 9 is (7) and (3 × 3) respectively. Together visible, there space no usual prime factors in between 7 and 9, i.e. They room coprime. Hence, the GCF the 7 and 9 will be 1.

GCF the 7 and also 9 by Listing common Factors

Factors that 7: 1, 7Factors that 9: 1, 3, 9

Since, 1 is the only usual factor in between 7 and also 9. The Greatest usual Factor the 7 and also 9 is 1.

GCF that 7 and 9 by long Division

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GCF the 7 and also 9 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 step 1 (7) by the remainder (2).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (1) is the GCF that 7 and also 9.

☛ likewise Check:


GCF of 7 and 9 Examples


Example 1: find the best number the divides 7 and 9 exactly.

Solution:

The best number the divides 7 and 9 specifically is their greatest common factor, i.e. GCF that 7 and 9.⇒ factors of 7 and 9:

Factors that 7 = 1, 7Factors that 9 = 1, 3, 9

Therefore, the GCF that 7 and also 9 is 1.


Example 2: The product of two numbers is 63. If their GCF is 1, what is their LCM?

Solution:

Given: GCF = 1 and product of numbers = 63∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 63/1Therefore, the LCM is 63.


Example 3: uncover the GCF the 7 and also 9, if their LCM is 63.

Solution:

∵ LCM × GCF = 7 × 9⇒ GCF(7, 9) = (7 × 9)/63 = 1Therefore, the greatest typical factor the 7 and 9 is 1.


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FAQs on GCF that 7 and 9

What is the GCF that 7 and also 9?

The GCF the 7 and also 9 is 1. To calculate the GCF of 7 and 9, we require to element each number (factors of 7 = 1, 7; determinants of 9 = 1, 3, 9) and also choose the greatest factor that exactly divides both 7 and also 9, i.e., 1.

What are the methods to find GCF the 7 and 9?

There room three frequently used approaches to find the GCF the 7 and 9.

By lengthy DivisionBy Euclidean AlgorithmBy prime Factorization

What is the Relation in between LCM and also GCF of 7, 9?

The following equation can be provided to to express the relation between Least common Multiple and also GCF of 7 and also 9, i.e. GCF × LCM = 7 × 9.

How to find the GCF that 7 and also 9 by prime Factorization?

To uncover the GCF of 7 and 9, we will find the element factorization of the offered numbers, i.e. 7 = 7; 9 = 3 × 3.⇒ over there is no common prime factor for 7 and also 9. Hence, GCF (7, 9) = 1.☛ prime Number

If the GCF of 9 and 7 is 1, discover its LCM.

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GCF(9, 7) × LCM(9, 7) = 9 × 7Since the GCF of 9 and also 7 = 1⇒ 1 × LCM(9, 7) = 63Therefore, LCM = 63☛ GCF Calculator

How to uncover the GCF the 7 and 9 by Long department Method?

To uncover the GCF that 7, 9 utilizing long department method, 9 is split by 7. The corresponding divisor (1) when remainder equates to 0 is taken together GCF.