Use our free GCF of Fractions Calculator tool to compute the GCF of 404/763, 286/267 i.e 2/203721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/763, 286/267.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 404/763,286/267
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 404/763,286/267, numerators are 404,286
Denominators are 763,267
The GCF of 404,286 is 2 .
LCM of 763,267 is 203721.
The greatest common factor of 404/763,286/267 = [GCF of 404,286]/[LCM of 763,267]= 2/203721
Therefore, the GCF of 404/763,286/267 is 2/203721.
To find the highest common factor of 404,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 404 are 1, 2, 4, 101, 202, 404
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 404,286 is 2.
Lets's calculate GCF of 404,286
2 | 404, 286 |
202, 143 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 404
:1,2,4,101,202,404
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 404,286 . The biggest common factor number is the GCF number.
So the greatest common factor 404,286 is 2.
Lets's calculate LCM of 763,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 203721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/203721
Therefore, the GCF of Fractions 404/763,286/267 is 2/203721
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 763,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,267) x common factors =1 x 1 = 1
LCM(763,267) = ( 763 × 267 ) / 1
LCM(763,267) = 203721 / 1
LCM(763,267) = 203721
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 404,286?
The HCF of 404,286 is 2
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 404/763, 286/267?
Answer: GCF of Numerators as per given numbers 404/763, 286/267 is
GCF of Numerators i.e. for 404,286 is 2
LCM of denominators i.e. for 763,267 is 203721.
Thus, GCF of Fractions is 2/203721.Finally, GCF of Fractions for 404/763, 286/267 is 2/203721.