Use our free GCF of Fractions Calculator tool to compute the GCF of 863/137, 310/477 i.e 1/65349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 863/137, 310/477.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 863/137,310/477
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 863/137,310/477, numerators are 863,310
Denominators are 137,477
The GCF of 863,310 is 1 .
LCM of 137,477 is 65349.
The greatest common factor of 863/137,310/477 = [GCF of 863,310]/[LCM of 137,477]= 1/65349
Therefore, the GCF of 863/137,310/477 is 1/65349.
To find the highest common factor of 863,310, we have to find the factors of both numbers and list the highest common factor.
The factors of 863 are 1, 863
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The HCF of 863,310 is 1.
Lets's calculate GCF of 863,310
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 863
:1,863
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 863,310 . The biggest common factor number is the GCF number.
So the greatest common factor 863,310 is 1.
Lets's calculate LCM of 137,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 65349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65349
Therefore, the GCF of Fractions 863/137,310/477 is 1/65349
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 137,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,477) x common factors =1 x 1 = 1
LCM(137,477) = ( 137 × 477 ) / 1
LCM(137,477) = 65349 / 1
LCM(137,477) = 65349
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 863,310?
The HCF of 863,310 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 863/137, 310/477?
Answer: GCF of Numerators as per given numbers 863/137, 310/477 is
GCF of Numerators i.e. for 863,310 is 1
LCM of denominators i.e. for 137,477 is 65349.
Thus, GCF of Fractions is 1/65349.Finally, GCF of Fractions for 863/137, 310/477 is 1/65349.