Use our free GCF of Fractions Calculator tool to compute the GCF of 8863/314, 4388/5624 i.e 1/882968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8863/314, 4388/5624.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8863/314,4388/5624
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 8863/314,4388/5624, numerators are 8863,4388
Denominators are 314,5624
The GCF of 8863,4388 is 1 .
LCM of 314,5624 is 882968.
The greatest common factor of 8863/314,4388/5624 = [GCF of 8863,4388]/[LCM of 314,5624]= 1/882968
Therefore, the GCF of 8863/314,4388/5624 is 1/882968.
To find the highest common factor of 8863,4388, we have to find the factors of both numbers and list the highest common factor.
The factors of 8863 are 1, 8863
The factors of 4388 are 1, 2, 4, 1097, 2194, 4388
The HCF of 8863,4388 is 1.
Lets's calculate GCF of 8863,4388
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8863
:1,8863
Now, list down the factors of 4388
:1,2,4,1097,2194,4388
Greatest Common Factor
We found the factors 8863,4388 . The biggest common factor number is the GCF number.
So the greatest common factor 8863,4388 is 1.
Lets's calculate LCM of 314,5624
2 | 314, 5624 |
157, 2812 |
∴ So the LCM of the given numbers is 2 x 157 x 2812 = 882968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/882968
Therefore, the GCF of Fractions 8863/314,4388/5624 is 1/882968
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 314,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,5624) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,5624) x common factors =2 x 1 = 2
LCM(314,5624) = ( 314 × 5624 ) / 2
LCM(314,5624) = 1765936 / 2
LCM(314,5624) = 882968
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8863,4388?
The HCF of 8863,4388 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 8863/314, 4388/5624?
Answer: GCF of Numerators as per given numbers 8863/314, 4388/5624 is
GCF of Numerators i.e. for 8863,4388 is 1
LCM of denominators i.e. for 314,5624 is 882968.
Thus, GCF of Fractions is 1/882968.Finally, GCF of Fractions for 8863/314, 4388/5624 is 1/882968.