Use our free GCF of Fractions Calculator tool to compute the GCF of 857/866, 6895/690 i.e 1/298770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 857/866, 6895/690.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 857/866,6895/690
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 857/866,6895/690, numerators are 857,6895
Denominators are 866,690
The GCF of 857,6895 is 1 .
LCM of 866,690 is 298770.
The greatest common factor of 857/866,6895/690 = [GCF of 857,6895]/[LCM of 866,690]= 1/298770
Therefore, the GCF of 857/866,6895/690 is 1/298770.
To find the highest common factor of 857,6895, we have to find the factors of both numbers and list the highest common factor.
The factors of 857 are 1, 857
The factors of 6895 are 1, 5, 7, 35, 197, 985, 1379, 6895
The HCF of 857,6895 is 1.
Lets's calculate GCF of 857,6895
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 857
:1,857
Now, list down the factors of 6895
:1,5,7,35,197,985,1379,6895
Greatest Common Factor
We found the factors 857,6895 . The biggest common factor number is the GCF number.
So the greatest common factor 857,6895 is 1.
Lets's calculate LCM of 866,690
2 | 866, 690 |
433, 345 |
∴ So the LCM of the given numbers is 2 x 433 x 345 = 298770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298770
Therefore, the GCF of Fractions 857/866,6895/690 is 1/298770
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 866,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,690) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,690) x common factors =2 x 1 = 2
LCM(866,690) = ( 866 × 690 ) / 2
LCM(866,690) = 597540 / 2
LCM(866,690) = 298770
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 857,6895?
The HCF of 857,6895 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 857/866, 6895/690?
Answer: GCF of Numerators as per given numbers 857/866, 6895/690 is
GCF of Numerators i.e. for 857,6895 is 1
LCM of denominators i.e. for 866,690 is 298770.
Thus, GCF of Fractions is 1/298770.Finally, GCF of Fractions for 857/866, 6895/690 is 1/298770.