Use our free GCF of Fractions Calculator tool to compute the GCF of 838/857, 205/902 i.e 1/773014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/857, 205/902.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/857,205/902
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 838/857,205/902, numerators are 838,205
Denominators are 857,902
The GCF of 838,205 is 1 .
LCM of 857,902 is 773014.
The greatest common factor of 838/857,205/902 = [GCF of 838,205]/[LCM of 857,902]= 1/773014
Therefore, the GCF of 838/857,205/902 is 1/773014.
To find the highest common factor of 838,205, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 205 are 1, 5, 41, 205
The HCF of 838,205 is 1.
Lets's calculate GCF of 838,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 205
:1,5,41,205
Greatest Common Factor
We found the factors 838,205 . The biggest common factor number is the GCF number.
So the greatest common factor 838,205 is 1.
Lets's calculate LCM of 857,902
Given numbers has no common factors except 1. So, there LCM is their product i.e 773014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/773014
Therefore, the GCF of Fractions 838/857,205/902 is 1/773014
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 857,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,902) x common factors =1 x 1 = 1
LCM(857,902) = ( 857 × 902 ) / 1
LCM(857,902) = 773014 / 1
LCM(857,902) = 773014
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 838,205?
The HCF of 838,205 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 838/857, 205/902?
Answer: GCF of Numerators as per given numbers 838/857, 205/902 is
GCF of Numerators i.e. for 838,205 is 1
LCM of denominators i.e. for 857,902 is 773014.
Thus, GCF of Fractions is 1/773014.Finally, GCF of Fractions for 838/857, 205/902 is 1/773014.