GCF of 6807/446, 5160/1115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6807/446, 5160/1115 i.e 3/2230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6807/446, 5160/1115.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6807/446,5160/1115?
Given fractions are 6807/446,5160/1115
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6807/446,5160/1115, numerators are 6807,5160
Denominators are 446,1115
The GCF of 6807,5160 is 3 .
LCM of 446,1115 is 2230.
The greatest common factor of 6807/446,5160/1115 = [GCF of 6807,5160]/[LCM of 446,1115]= 3/2230
Therefore, the GCF of 6807/446,5160/1115 is 3/2230.
To find the highest common factor of 6807,5160, we have to find the factors of both numbers and list the highest common factor.
The factors of 6807 are 1, 3, 2269, 6807
The factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160
The HCF of 6807,5160 is 3.
Lets's calculate GCF of 6807,5160
| 3 | 6807, 5160 |
| 2269, 1720 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6807,5160 By Matching Biggest Common Factor Method
Now, list down the factors of 6807
:1,3,2269,6807
Now, list down the factors of 5160
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 6807,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 6807,5160 is 3.
Lets's calculate LCM of 446,1115
| 223 | 446, 1115 |
| 2, 5 |
∴ So the LCM of the given numbers is 223 x 2 x 5 = 2230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2230
Therefore, the GCF of Fractions 6807/446,5160/1115 is 3/2230
Least Common Multiple of 446,1115 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 446,1115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,1115) = 223
common factors(in case of two or more numbers have common factors) = 1
GCF(446,1115) x common factors =223 x 1 = 223
LCM(446,1115) = ( 446 × 1115 ) / 223
LCM(446,1115) = 497290 / 223
LCM(446,1115) = 2230
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FAQs on GCF of Fractions of 6807/446, 5160/1115
1. What is the HCF of 6807,5160?
The HCF of 6807,5160 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6807/446, 5160/1115?
Answer: GCF of Numerators as per given numbers 6807/446, 5160/1115 is
GCF of Numerators i.e. for 6807,5160 is 3
LCM of denominators i.e. for 446,1115 is 2230.
Thus, GCF of Fractions is 3/2230.Finally, GCF of Fractions for 6807/446, 5160/1115 is 3/2230.