Use our free GCF of Fractions Calculator tool to compute the GCF of 6857/558, 6266/914 i.e 1/255006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6857/558, 6266/914.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6857/558,6266/914
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 6857/558,6266/914, numerators are 6857,6266
Denominators are 558,914
The GCF of 6857,6266 is 1 .
LCM of 558,914 is 255006.
The greatest common factor of 6857/558,6266/914 = [GCF of 6857,6266]/[LCM of 558,914]= 1/255006
Therefore, the GCF of 6857/558,6266/914 is 1/255006.
To find the highest common factor of 6857,6266, we have to find the factors of both numbers and list the highest common factor.
The factors of 6857 are 1, 6857
The factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266
The HCF of 6857,6266 is 1.
Lets's calculate GCF of 6857,6266
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6857
:1,6857
Now, list down the factors of 6266
:1,2,13,26,241,482,3133,6266
Greatest Common Factor
We found the factors 6857,6266 . The biggest common factor number is the GCF number.
So the greatest common factor 6857,6266 is 1.
Lets's calculate LCM of 558,914
2 | 558, 914 |
279, 457 |
∴ So the LCM of the given numbers is 2 x 279 x 457 = 255006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/255006
Therefore, the GCF of Fractions 6857/558,6266/914 is 1/255006
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 558,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,914) x common factors =2 x 1 = 2
LCM(558,914) = ( 558 × 914 ) / 2
LCM(558,914) = 510012 / 2
LCM(558,914) = 255006
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6857,6266?
The HCF of 6857,6266 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 6857/558, 6266/914?
Answer: GCF of Numerators as per given numbers 6857/558, 6266/914 is
GCF of Numerators i.e. for 6857,6266 is 1
LCM of denominators i.e. for 558,914 is 255006.
Thus, GCF of Fractions is 1/255006.Finally, GCF of Fractions for 6857/558, 6266/914 is 1/255006.