Factors Of 5 And 9
GCF of five and 9
GCF of v and 9 is the largest possible number that divides 5 and 9 exactly without any rest. The factors of v and 9 are 1, 5 and 1, 3, 9 respectively. At that place are 3 commonly used methods to notice the GCF of five and 9 - Euclidean algorithm, long division, and prime factorization.
| one. | GCF of 5 and 9 |
| 2. | List of Methods |
| three. | Solved Examples |
| 4. | FAQs |
What is GCF of five and ix?
Answer: GCF of 5 and 9 is 1.
Explanation:
The GCF of 2 non-goose egg integers, x(5) and y(9), is the greatest positive integer grand(1) that divides both ten(five) and y(nine) without any remainder.
Methods to Find GCF of five and ix
The methods to find the GCF of five and 9 are explained beneath.
- Prime Factorization Method
- Using Euclid's Algorithm
- Long Division Method
GCF of 5 and 9 by Prime Factorization
Prime factorization of 5 and nine is (5) and (3 × three) respectively. As visible, there are no common prime factors between 5 and ix, i.e. they are coprime. Hence, the GCF of 5 and 9 will be i.
GCF of 5 and ix by Euclidean Algorithm
As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)
where X > Y and mod is the modulo operator.
Here X = 9 and Y = 5
- GCF(9, 5) = GCF(5, 9 modernistic 5) = GCF(5, 4)
- GCF(5, 4) = GCF(4, 5 mod iv) = GCF(4, 1)
- GCF(4, ane) = 1 (∵ GCF(X, 1) = 1)
Therefore, the value of GCF of 5 and nine is ane.
GCF of five and 9 past Long Division
GCF of 5 and 9 is the divisor that we go when the remainder becomes 0 after doing long division repeatedly.
- Pace one: Dissever 9 (larger number) by v (smaller number).
- Step ii: Since the remainder ≠ 0, we will split up the divisor of footstep 1 (five) past the rest (4).
- Step 3: Repeat this process until the residual = 0.
The corresponding divisor (i) is the GCF of 5 and ix.
☛ As well Check:
- GCF of 39 and 65 = xiii
- GCF of 13 and 39 = 13
- GCF of 28 and 36 = 4
- GCF of 8 and 20 = iv
- GCF of 32 and 56 = 8
- GCF of 120 and 168 = 24
- GCF of x and 50 = x
GCF of 5 and nine Examples
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FAQs on GCF of 5 and 9
What is the GCF of 5 and ix?
The GCF of 5 and 9 is 1 . To calculate the greatest common factor of 5 and 9, nosotros need to factor each number (factors of 5 = 1, five; factors of 9 = 1, 3, ix) and cull the greatest factor that exactly divides both 5 and 9, i.e., 1.
How to Detect the GCF of 5 and nine past Long Sectionalization Method?
To find the GCF of 5, nine using long segmentation method, 9 is divided past 5. The corresponding divisor (1) when rest equals 0 is taken as GCF.
What are the Methods to Find GCF of v and 9?
At that place are three commonly used methods to find the GCF of 5 and 9.
- By Euclidean Algorithm
- Past Long Division
- By Prime Factorization
How to Find the GCF of 5 and 9 past Prime Factorization?
To notice the GCF of 5 and 9, we volition find the prime factorization of the given numbers, i.e. 5 = 5; ix = 3 × iii.
⇒ There is no common prime gene for 5 and 9. Hence, GCF (5, 9) = 1.
☛ Prime
If the GCF of 9 and five is i, Find its LCM.
GCF(9, 5) × LCM(ix, five) = ix × v
Since the GCF of 9 and 5 = 1
⇒ 1 × LCM(nine, 5) = 45
Therefore, LCM = 45
☛ Greatest Mutual Factor Calculator
What is the Relation Between LCM and GCF of 5, 9?
The following equation can exist used to express the relation between Least Mutual Multiple (LCM) and GCF of five and 9, i.e. GCF × LCM = 5 × nine.
Factors Of 5 And 9,
Source: https://www.cuemath.com/numbers/gcf-of-5-and-9/
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