GCF of 6899/213, 7165/3183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6899/213, 7165/3183 i.e 1/225993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6899/213, 7165/3183.
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 6899/213,7165/3183?
Given fractions are 6899/213,7165/3183
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 6899/213,7165/3183, numerators are 6899,7165
Denominators are 213,3183
The GCF of 6899,7165 is 1 .
LCM of 213,3183 is 225993.
The greatest common factor of 6899/213,7165/3183 = [GCF of 6899,7165]/[LCM of 213,3183]= 1/225993
Therefore, the GCF of 6899/213,7165/3183 is 1/225993.
To find the highest common factor of 6899,7165, we have to find the factors of both numbers and list the highest common factor.
The factors of 6899 are 1, 6899
The factors of 7165 are 1, 5, 1433, 7165
The HCF of 6899,7165 is 1.
Lets's calculate GCF of 6899,7165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6899,7165 By Matching Biggest Common Factor Method
Now, list down the factors of 6899
:1,6899
Now, list down the factors of 7165
:1,5,1433,7165
Greatest Common Factor
We found the factors 6899,7165 . The biggest common factor number is the GCF number.
So the greatest common factor 6899,7165 is 1.
Lets's calculate LCM of 213,3183
| 3 | 213, 3183 |
| 71, 1061 |
∴ So the LCM of the given numbers is 3 x 71 x 1061 = 225993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225993
Therefore, the GCF of Fractions 6899/213,7165/3183 is 1/225993
Least Common Multiple of 213,3183 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 213,3183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,3183) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,3183) x common factors =3 x 1 = 3
LCM(213,3183) = ( 213 × 3183 ) / 3
LCM(213,3183) = 677979 / 3
LCM(213,3183) = 225993
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FAQs on GCF of Fractions of 6899/213, 7165/3183
1. What is the HCF of 6899,7165?
The HCF of 6899,7165 is 1
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 6899/213, 7165/3183?
Answer: GCF of Numerators as per given numbers 6899/213, 7165/3183 is
GCF of Numerators i.e. for 6899,7165 is 1
LCM of denominators i.e. for 213,3183 is 225993.
Thus, GCF of Fractions is 1/225993.Finally, GCF of Fractions for 6899/213, 7165/3183 is 1/225993.