Use our free GCF of Fractions Calculator tool to compute the GCF of 3070/519, 2859/6903 i.e 1/1194219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3070/519, 2859/6903.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3070/519,2859/6903
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 3070/519,2859/6903, numerators are 3070,2859
Denominators are 519,6903
The GCF of 3070,2859 is 1 .
LCM of 519,6903 is 1194219.
The greatest common factor of 3070/519,2859/6903 = [GCF of 3070,2859]/[LCM of 519,6903]= 1/1194219
Therefore, the GCF of 3070/519,2859/6903 is 1/1194219.
To find the highest common factor of 3070,2859, we have to find the factors of both numbers and list the highest common factor.
The factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070
The factors of 2859 are 1, 3, 953, 2859
The HCF of 3070,2859 is 1.
Lets's calculate GCF of 3070,2859
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3070
:1,2,5,10,307,614,1535,3070
Now, list down the factors of 2859
:1,3,953,2859
Greatest Common Factor
We found the factors 3070,2859 . The biggest common factor number is the GCF number.
So the greatest common factor 3070,2859 is 1.
Lets's calculate LCM of 519,6903
3 | 519, 6903 |
173, 2301 |
∴ So the LCM of the given numbers is 3 x 173 x 2301 = 1194219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1194219
Therefore, the GCF of Fractions 3070/519,2859/6903 is 1/1194219
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 519,6903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,6903) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,6903) x common factors =3 x 1 = 3
LCM(519,6903) = ( 519 × 6903 ) / 3
LCM(519,6903) = 3582657 / 3
LCM(519,6903) = 1194219
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3070,2859?
The HCF of 3070,2859 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 3070/519, 2859/6903?
Answer: GCF of Numerators as per given numbers 3070/519, 2859/6903 is
GCF of Numerators i.e. for 3070,2859 is 1
LCM of denominators i.e. for 519,6903 is 1194219.
Thus, GCF of Fractions is 1/1194219.Finally, GCF of Fractions for 3070/519, 2859/6903 is 1/1194219.