Use our free GCF of Fractions Calculator tool to compute the GCF of 467/438, 286/493 i.e 1/215934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/438, 286/493.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 467/438,286/493
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 467/438,286/493, numerators are 467,286
Denominators are 438,493
The GCF of 467,286 is 1 .
LCM of 438,493 is 215934.
The greatest common factor of 467/438,286/493 = [GCF of 467,286]/[LCM of 438,493]= 1/215934
Therefore, the GCF of 467/438,286/493 is 1/215934.
To find the highest common factor of 467,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 467 are 1, 467
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 467,286 is 1.
Lets's calculate GCF of 467,286
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 467
:1,467
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 467,286 . The biggest common factor number is the GCF number.
So the greatest common factor 467,286 is 1.
Lets's calculate LCM of 438,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 215934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215934
Therefore, the GCF of Fractions 467/438,286/493 is 1/215934
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 438,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,493) x common factors =1 x 1 = 1
LCM(438,493) = ( 438 × 493 ) / 1
LCM(438,493) = 215934 / 1
LCM(438,493) = 215934
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 467,286?
The HCF of 467,286 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 467/438, 286/493?
Answer: GCF of Numerators as per given numbers 467/438, 286/493 is
GCF of Numerators i.e. for 467,286 is 1
LCM of denominators i.e. for 438,493 is 215934.
Thus, GCF of Fractions is 1/215934.Finally, GCF of Fractions for 467/438, 286/493 is 1/215934.