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

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

Answer: GCF that 7 and 9 is 1.

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Explanation:

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


The approaches to discover the GCF the 7 and also 9 are defined below.

Prime administrate MethodListing common FactorsLong division Method

GCF the 7 and 9 by element Factorization

Prime administer of 7 and also 9 is (7) and (3 × 3) respectively. As visible, there are no common prime factors between 7 and 9, i.e. They space coprime. Hence, the GCF that 7 and also 9 will be 1.

GCF the 7 and 9 by Listing common Factors

Factors of 7: 1, 7Factors the 9: 1, 3, 9

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

GCF of 7 and 9 by long Division

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GCF that 7 and also 9 is the divisor the we acquire when the remainder becomes 0 ~ doing long division repeatedly.

Step 2: because the remainder ≠ 0, we will certainly divide the divisor of step 1 (7) through the remainder (2).Step 3: Repeat this process until the remainder = 0.

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

☛ likewise Check:


GCF that 7 and 9 Examples


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

Solution:

The greatest number that divides 7 and also 9 precisely is your greatest usual factor, i.e. GCF that 7 and also 9.⇒ factors of 7 and 9:

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

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


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

Solution:

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


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

Solution:

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


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FAQs top top GCF the 7 and also 9

What is the GCF the 7 and also 9?

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

What room the methods to uncover GCF the 7 and also 9?

There room three typically used methods to find the GCF the 7 and 9.

By lengthy DivisionBy Euclidean AlgorithmBy prime Factorization

What is the Relation between LCM and GCF that 7, 9?

The complying with equation deserve to be used to to express the relation in between Least usual Multiple and GCF the 7 and also 9, i.e. GCF × LCM = 7 × 9.

How to find the GCF of 7 and also 9 by element Factorization?

To discover the GCF of 7 and also 9, us will uncover the prime factorization that the offered numbers, i.e. 7 = 7; 9 = 3 × 3.⇒ there is no usual prime factor for 7 and 9. Hence, GCF (7, 9) = 1.☛ prime Number

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

See more: "Letter To His Son" By Robert E Lee Letter To His Son Summary

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

How to uncover the GCF of 7 and 9 through Long division Method?

To discover the GCF that 7, 9 making use of long division method, 9 is separated by 7. The matching divisor (1) once remainder amounts to 0 is taken as GCF.