Use our free GCF of Fractions Calculator tool to compute the GCF of 4310/112, 2014/8252 i.e 2/231056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4310/112, 2014/8252.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4310/112,2014/8252
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 4310/112,2014/8252, numerators are 4310,2014
Denominators are 112,8252
The GCF of 4310,2014 is 2 .
LCM of 112,8252 is 231056.
The greatest common factor of 4310/112,2014/8252 = [GCF of 4310,2014]/[LCM of 112,8252]= 2/231056
Therefore, the GCF of 4310/112,2014/8252 is 2/231056.
To find the highest common factor of 4310,2014, we have to find the factors of both numbers and list the highest common factor.
The factors of 4310 are 1, 2, 5, 10, 431, 862, 2155, 4310
The factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014
The HCF of 4310,2014 is 2.
Lets's calculate GCF of 4310,2014
2 | 4310, 2014 |
2155, 1007 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4310
:1,2,5,10,431,862,2155,4310
Now, list down the factors of 2014
:1,2,19,38,53,106,1007,2014
Greatest Common Factor
We found the factors 4310,2014 . The biggest common factor number is the GCF number.
So the greatest common factor 4310,2014 is 2.
Lets's calculate LCM of 112,8252
2 | 112, 8252 |
2 | 56, 4126 |
28, 2063 |
∴ So the LCM of the given numbers is 2 x 2 x 28 x 2063 = 231056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/231056
Therefore, the GCF of Fractions 4310/112,2014/8252 is 2/231056
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 112,8252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,8252) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(112,8252) x common factors =4 x 1 = 4
LCM(112,8252) = ( 112 × 8252 ) / 4
LCM(112,8252) = 924224 / 4
LCM(112,8252) = 231056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4310,2014?
The HCF of 4310,2014 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 4310/112, 2014/8252?
Answer: GCF of Numerators as per given numbers 4310/112, 2014/8252 is
GCF of Numerators i.e. for 4310,2014 is 2
LCM of denominators i.e. for 112,8252 is 231056.
Thus, GCF of Fractions is 2/231056.Finally, GCF of Fractions for 4310/112, 2014/8252 is 2/231056.