Use our free GCF of Fractions Calculator tool to compute the GCF of 6850/927, 6575/859 i.e 25/796293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6850/927, 6575/859.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6850/927,6575/859
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 6850/927,6575/859, numerators are 6850,6575
Denominators are 927,859
The GCF of 6850,6575 is 25 .
LCM of 927,859 is 796293.
The greatest common factor of 6850/927,6575/859 = [GCF of 6850,6575]/[LCM of 927,859]= 25/796293
Therefore, the GCF of 6850/927,6575/859 is 25/796293.
To find the highest common factor of 6850,6575, we have to find the factors of both numbers and list the highest common factor.
The factors of 6850 are 1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425, 6850
The factors of 6575 are 1, 5, 25, 263, 1315, 6575
The HCF of 6850,6575 is 25.
Lets's calculate GCF of 6850,6575
5 | 6850, 6575 |
5 | 1370, 1315 |
274, 263 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 6850
:1,2,5,10,25,50,137,274,685,1370,3425,6850
Now, list down the factors of 6575
:1,5,25,263,1315,6575
Greatest Common Factor
We found the factors 6850,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 6850,6575 is 25.
Lets's calculate LCM of 927,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 796293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/796293
Therefore, the GCF of Fractions 6850/927,6575/859 is 25/796293
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 927,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,859) x common factors =1 x 1 = 1
LCM(927,859) = ( 927 × 859 ) / 1
LCM(927,859) = 796293 / 1
LCM(927,859) = 796293
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6850,6575?
The HCF of 6850,6575 is 25
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 6850/927, 6575/859?
Answer: GCF of Numerators as per given numbers 6850/927, 6575/859 is
GCF of Numerators i.e. for 6850,6575 is 25
LCM of denominators i.e. for 927,859 is 796293.
Thus, GCF of Fractions is 25/796293.Finally, GCF of Fractions for 6850/927, 6575/859 is 25/796293.